Aleksander Muc

Aleksander Muc
Cracow University of Technology | PK · Physics

DSc, PhD, MSc

About

172
Publications
53,363
Reads
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1,561
Citations
Citations since 2017
66 Research Items
973 Citations
2017201820192020202120222023050100150200
2017201820192020202120222023050100150200
2017201820192020202120222023050100150200
2017201820192020202120222023050100150200
Introduction
Aleksander Muc currently works at the Department of Physics, Cracow University of Technology. Aleksander does research in Mechanics of Materials and Structures, Composite Structures, Optimization and Machine Design.
Additional affiliations
October 1986 - December 1988
University of Liverpool
Position
  • Research Associate
Description
  • Applied Mechanics
January 1980 - August 1986
Cracow University of Technology
Position
  • Research Assistant
Description
  • Applied Mechanics Machine Design
Education
January 1989 - July 1992
Cracow University of Technology
Field of study
  • Applied Mechanics
November 1983 - June 1986
Cracow University of Technology
Field of study
  • `Mechanics
October 1975 - January 1980
Cracow University of Technology
Field of study
  • Applied Mechanics

Publications

Publications (172)
Article
The present paper deals with the static buckling and post-buckling behaviour of clamped elastic laminated shallow spherical shells subjected to a uniform external pressure. Applying the Rayleigh-Ritz procedure to Marguerre's equations combined with precise pre-buckling numerical analysis, reasonably accurate solutions are obtained for buckling uppe...
Article
The overall objective of the paper is to describe the concept of using genetic algorithms (GA) procedures in layout optimization of composite structures. The layout optimization is understood in the sense of stacking sequence, shape and size (material, volume) optimization. The attention is focused on the applicability of genetic algorithms in conj...
Article
The fatigue life estimations for composite plates subjected to shear loadings are studied. A progressive damage analysis of composite structures and the used failure criteria is demonstrated. Special attention is focused on a fatigue crack growth analysis. Using the failure criteria the numerical analysis is conducted in order to evaluate the fatig...
Article
This paper presents the analysis of the accuracy of the classical shell theory in the prediction of buckling loads of laminated shallow shells of revolution loaded by external pressure or axially compressed. The shells studied are circular cylinders, barrels, inverse barrels and spherical sections. In each case the boundary conditions are simple su...
Article
Atomic arrangement and configuration of carbon nanotubes (CNTs) imposes the necessity of the use of transversely isotropic or specially orthotropic material models in the description of their effective material properties instead of isotropic one. Therefore, in the present paper an identification technique based on the analysis of natural vibration...
Article
Full-text available
In the present paper, buckling problems of constructions with single delamination are examined. Structures were made of unidirectional laminates and functionally graded materials (FGM). Two types of delaminations (closed and opened) were both investigated in experiments both in rectangular plates and axi-symmetric shells. The first part of the work...
Article
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In the present paper buckling problems of constructions with a single delamination are conducted. Structures are made of laminates and functionally graded materials (FGM). The first part of the work is devoted to the formulation of contact problems with the aid of various functional inequalities. Then computational models are discussed. Finally two...
Article
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The present analysis is conducted for the evaluation of contact pressures of axisymmetric shells made of laminated composites or functionally graded materials. This class of problems is usually called the Signorini–Fichera problem (unilateral constraints) and can be solved as the lower-bound problem. The numerical solution of this problem is propos...
Article
For composite shallow spherical shells (including functionally graded materials) the buckling and post-buckling behaviour is strongly affected by the material characteristics of a shell wall constructions. Using a power series expansion for a parameter (z/h) different variants of 2-D shell formulations are discussed herein starting from the Love-Ki...
Article
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Due to the lack of commercially available finite elements packages allowing us to analyse the behaviour of porous functionally graded (FG) structures in this paper, axisymmetric deformations of coupled FG spherical shells are studied. The analytical solution is presented by using complex hypergeometric polynomial series. The results presented agree...
Article
In this paper optimal design of free vibrations for functionally graded plates is studied using the analytical methods. The analytical methods can be employed for the solution of six of 21 arbitrary boundary conditions (the combinations of clamped, simply supported and free). The influence of various models of porosity and forms of different reinfo...
Article
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Mechanical properties of carbon nanotube (CNT)-based nanocomposites are broadly discussed in the literature. The influence of CNT arrangements on the elastic properties of nanocomposites based on the finite-element method (FEM) and representative volume element (RVE) approach is presented here. This study is an application of RVE modeling in the ch...
Article
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In this paper effects of material constructions on natural frequencies and critical aerodynamic pressures are investigated. It is assumed that the rectangular plate is made of a polymeric matrix reinforced with graphene nanoplatelets or carbon nanotubes. A general closed analytical method of solution is presented. It is demonstrated that three para...
Article
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The main goal of building composite materials and structures is to provide appropriate a priori controlled physico-chemical properties. For this purpose, a strengthening is introduced that can bear loads higher than those borne by isotropic materials, improve creep resistance, etc. Composite materials can be designed in a different fashion to meet...
Article
The analytical solutions of supersonic flutter of porous functionally graded plates are investigated. The material properties of the plates (stiffness and density) vary according to a power law across the thickness and axial coordinates depending on the volume fraction of constituent materials. Their equilibrium and stability equations are derived...
Article
The current work is devoted to the problem of the validation of dispersion curves and numerical simulations of fundamental Lamb wave and shear horizontal elastic wave modes for fiber metal laminates (FML). In the present study, two types of FM laminates are considered. In the first case, the studied composite material consists of 7 layers: one laye...
Article
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For laminated rectangular plates and cylindrical shells the analytical, closed form solution is found using classical and first order transverse shear formulations of kinematical hypothesis. The analysis is carried out for a specific boundary conditions dealing with two opposite edges being simply supported. The evaluated method of solution can be...
Article
This paper investigates the flutter characteristics and free vibrations of porous functionally graded plates using the analytical and Rayleigh-Ritz methods. The analytical methods can be employed for the solution of six of 21 arbitrary boundary conditions (the combinations of clamped, simply supported and free). The influence of five various models...
Article
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The aim of the present paper is to describe and discuss on possible methods used in the divergence and flutter analysis of composite multilayered laminated structures. Dynamic instability is a very dangerous phenomenon and aeroelastic optimization has become an important element of the composite flight vehicle design process. A special attention is...
Article
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The present paper is devoted to the parametric analysis of the impact of the fiber orientation angle on the dispersion relations of elastic waves in the case of GLARE composite material. The studied material consists of 13 layers. The layers are made of aluminum alloy AW-6060 and glass fiber/epoxy resin TVR380M12/R-glass. It is assumed that general...
Article
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In this paper, the elastic wave propagation method was used in damage detection in composite cylindrical panels. The multipoint measuring system based on surface-mounted piezoelectric transducers was applied in the multistage measurement of the elastic wave propagation. The damage index definition based on the correlation coefficient was used to de...
Article
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The paper present the free vibration and the flutter of multi-layered cylindrical shells using the Rayleigh-Ritz method. The optimal design with constraints imposed on the eigenfrequencies is particularly useful in the selection of dynamic characteristics of structures. For composite cylindrical shells, the fiber orientation variations in individua...
Article
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To investigate the influence of transverse shear effects the present paper demonstrates the comparison of flutter characteristics for rectangular multilayered composite plates. The concise variational formulation is shown for various variants of the plate theories (classical, first order and higher order). The analytical, closed form solution is fo...
Article
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In the present paper the combinatorial optimization problems dealing with laminate stacking sequence optimization are formulated and studied. Two types of design variables are introduced: 1) classical, discrete and 2) new, continuous ones. In order to obtain the optimal solution a classical genetic algorithm is applied. We are looking for the maxim...
Article
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In this research, the multilayered composite plates made of glass/epoxy material were experimentally and numerically investigated under compressive loading conditions. The intact and defected structures were analyzed with the use of finite element method. The influence of the thickness and geometrical imperfection level were carried out in the line...
Article
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Nonlocal higher order free vibration and buckling analysis of a cylindrical nano shell is studied in this paper based on nonlocal 3D elasticity theory and third order shear deformation theory proposed by Prof. J.N. Reddy. One can conclude that combination of important theories such as Reddy's shear deformation theory and nonlocal Tiersten-Mindlin’s...
Article
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The current paper deals with the analysis of the hybrid FRP/concrete structures for bridge constructions. The glass fiber composite structure connected with the reinforced concrete was analyzed numerically. The detailed analysis of the material properties was conducted and then used in the design process of the final construction. The different loa...
Article
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Usually, the design of composite structures is limited to the linear elastic analysis only. The experimental results discussed in the paper demonstrate the physical non-linear behaviour both for unidirectional and woven roving composites. It is mainly connected with the micromechanical damages in composite structures, particularly with the effects...
Article
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In the present paper the problems of optimal design of multilayered composite structures subjected to free vibration and supersonic flutter constraints are discussed. The analysis is carried out for laminated flat plates and cylindrical panels with rectangular planform. The solutions are derived with the aid of analytical and finite element formula...
Article
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Aeroelastic properties, such as free vibrations of multilayered composite cylindrical shells, are investigated in the present paper. It is well known that the eigenmode (eigenvalue) analysis is a crucial point in the estimations/calculations of the divergence and flutter speeds characterizng dynamic instability. In this study the maximization probl...
Article
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The buckling loads and the post-buckling behavior of the perfect and imperfect delaminated plate are investigated in the paper. For this purpose the concise formulations enabling to derive pre- and post-buckling behaviour of plates with embedded delaminations is presented. The computations are made using FE package NISA II and Mathematica package....
Article
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This work concerns atomic potentials applied in the description of carbon nanotubes mechanical behavior. The explicit relations of interatomic forces for different interatomic potentials have been derived. The fluctuations in the values of interatomic potential, interatomic force, elastic constant and Young’s modulus have been put forward to elucid...
Article
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Aeroelastic optimization has become an indispensable component in the evaluation of divergence and flutter characteristics for plated/shell structures. The present paper intends to review the fundamental trends and dominant approaches in the optimal design of engineering constructions. A special attention is focused on the formulation of objective...
Article
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The current paper deals with the impact of geometrical and material parameters of the laminated conical shell on the load carrying capacity based on the finite element analysis. Various parameters were taken into account, that is, stiffness ratio, cone angle or shell height. Moreover, the mechanical behavior of conical shell having the concave and...
Article
Aeroelastic optimization has become an indispensable component in the evaluation of divergence and flutter characteristics for plated/shell structures. The present paper intends to review the fundamental trends and dominant approaches in the optimal design of engineering constructions. A special attention is focused on the formulation of objective...
Article
Full-text available
The present article discusses the influence of delamination and external loads on the heat transfer in flat and curved laminated panels. Three cases are considered in details: (1) the unloaded structure (length is a constant), (2) the static loading, and (3) the fatigue loading. Here, the comparison between experimental and numerical (finite elemen...
Article
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Bolotin (1961) published the book presenting the analytical solution of the flutter problem for isotropic plates having finite dimensions (i.e. a width and a length). His results are much more broader than those discussed by Hedgepeth (1956) and Houbolt (1958) for plates having one infinite dimension (i.e. in fact reduced to the analysis of beams)....
Article
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The aim of the present paper is to present a consistent 2D formulation of sandwiches (CS – classical sandwiches and FGMs – functionally gradient materials) that is accurate enough for a prediction of thermo-mechanical buckling load. Various kinematical hypothesis and variational formulations are studied in order to compare them with 3D finite eleme...
Article
For composite materials and structures static strength, fatigue damage and durability demonstrate a scatter factor of results larger than for isotropic materials. To characterize it the fuzzy set approach is proposed. Two different mechanical descriptions of fatigue life are used in order to describe the uncertainty and randomness of parameters cha...
Article
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A simplified procedure has been developed to optimize the molding processes of thermosetting resins. The proposed methodology involves the classical finite element commercial package (NISA II v. 17). Here, the theoretical background and numerical implementation of the procedure are described. Various design variables that can describe the RIM are d...
Article
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The application of numerical homogenization and optimization in the design of micro- and nanocomposite reinforcement is presented. The influence of boundary conditions, form of a representative volume element, shape and distribution of reinforcement are distinguished as having the crucial influence on a design of the reinforcement. The paper also s...
Article
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In this paper, the elastic wave propagation method was used in damage detection in thin structures. The effectiveness and accuracy of the system based on the wave propagation phenomenon depend on the number and localization of the sensors. The utilization of the piezoelectric (PZT) transducers makes possible to build a low-cost damage detection sys...
Article
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The buckling and free vibrations of rectangular nanoplates are considered in this paper. The refined continuum transverse shear deformation theory (third and first order) is introduced to formulate the fundamental equations of the nanoplate. In addition, the analysis involves the nonlocal strain and stress theories of elasticity to take into accoun...
Article
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The paper gives a set of basic relations characterizing the phenomena of viscous polymer resin flow through fiber reinforcement and the resin curing process. We describe the technological process of manufacturing composite structures. The influence of the resin curing process on values of residual stresses in composite constructions is analyzed tak...
Article
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The proposed new technique of fatigue life prediction for notched composite plates is based on a residual strength model calibrated with the use of step-wise fatigue tests. It was proposed to calibrate the fatigue model with fatigue tests in which load conditions are in a step-wise fashion. The adopted fatigue model takes into account the most impo...
Article
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Free vibration (or eigenvalue analysis) is a prerequisite for aeroelastic analysis. For divergence analysis, slope influence coefficients (rotation at point i due to unit load at point j) are calculated using free vibration mode shapes and corresponding frequencies. The lowest eigenvalue is of interest and gives the divergence speed. The present pa...
Article
The present paper deals with the description of the stability loss and postbuckling for multilayered composite structures. Both, the experimental results and theoretical predictions are presented and discussed. The wide literature review is also pointed out considering the issue of both experimental and theoretical buckling analyses for composite r...
Article
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The results of analytical and numerical studies of the buckling behavior of laminated multilayered tensioned sheets with circular and elliptical openings are presented. The analysis shows the significant influence of stress concentration effects on buckling modes and loads, particularly taking into consideration variations in the E₁/E₂ and E₁/G12 r...
Article
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The basic information required to utilize one of possible computation tools/algorithms (mainly the evolution strategy) to solve a wide class of real practical engineering optimization problems is presented and discussed in the present paper. The effectiveness of the considered method is demonstrated by the possibility of the use of different form o...
Article
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The problems discussed in the present paper are well-known both from the theoretical (numerical) and experimental point of view. The novelty of our approach depends on the application of hybrid experimental methods and a comparison of their effectiveness in the description of complicated fatigue problems arising in the analysis of the behavior of l...
Poster
Full-text available
1. Processing of Polyvinylidene fluoride(PVDF) nanofiber through electrospinning. 2. Heat, Corona (Plasma) postprocessing treatment on PVDF nanofiber individually. 3. Compare the effect of Heat and corona treatment on the piezoelectric property of the PVDF nanofiber by Drop-ball experiment. 4. Inclusion of MWCNT with PVDF to increase its heat resis...
Article
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A microstructure-based model is developed to study the effective anisotropic properties (magnetic, dielectric or thermal) of two-phase particle-filled composites. The Green's function technique and the effective field method are used to theoretically derive the homogenized (averaged) properties for a representative volume element containing isolate...
Article
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This article explains in some details the behaviour of thick, deep cylindrical sandwich panels subjected to compressive loads. In general, experimental results indicated that two different forms of failure have been observed – the first corresponds to the overall buckling and the second to the facesheet wrinkling. The obtained experimentally damage...
Preprint
A microstructure-based model is developed to study the effective anisotropic properties (magnetic, dielectric or thermal) of two phase particle-filled composites. The Green’s function technique and the effective field method are used to derive theoretically the homogenized (averaged) properties for a representative volume element containing isolate...
Article
A general analytical procedure is proposed to design tapered laminated composite structures. It is based on: 1) the introduction of two variables representing a laminate configuration, 2) the analytical determination of the lower bound of the number of layers in each of the segments constituting the construction, 3) the definition of the reference...
Article
Fatigue failure of laminated composites containing circular or elliptical (vertical and horizontal) holes and subjected to tension was studied. This research investigates the stress components, the initiation and propagation of static and fatigue damage and failure in notched composite laminates by analytic method and FE model, both of which are va...
Article
Full-text available
The critical review and comparison of the different fracture criteria based on Linear Elastic Fracture Mechanics is presented in the paper. The comparison was made on the example of multilayered composite plate with circular delamination made of graphite/epoxy AS4/3501-6 material subjected to biaxial compression. Such structures subjected for compr...
Article
In this paper the elastic wave propagation method was used to observe the evolution of the failure form in composite multilayered plates with a circular hole. The measuring system based on two, surface-mounted piezoelectric (PZT) elements was applied. The sequential measurements of the elastic wave propagation during the fatigue test have been carr...
Article
Full-text available
The appearing process-induced stresses influence the mechanical performance of a composite structure and can initiate pre-load damage. Residual stresses evaluation is particularly important in multilayered composites where the ply orientations and stacking sequences highly influence the appearing stresses. Various numerical methods are used to simu...
Article
Full-text available
In this work, a brief review of various approaches using Infrared Thermography (IRT) as a non-destructive method applied for better understanding of fatigue behaviour and the damage process is presented. Rapid determination of fatigue limits obtained with the use of IRT is in very good agreement with the conventional experimental testing program fo...
Article
A special type of new, continuous design variables is introduced in order to find optimum solutions for discrete fiber orientations. In the buckling analysis, as two or three different fiber orientations are considered, optimum solutions can be found in an analytical way. For a greater number of discrete fiber orientations, a special optimization a...
Article
Full-text available
A special type of new discrete design variables is introduced in order to find optimal stacking sequences for laminated structures. Using the proposed new design variables, we demonstrate how to find analytical (i.e. without any numerical optimization algorithm) optimal solutions for laminates made of plies having three different fibre orientations...
Article
This work presents modelling and numerical analysis of shells with axisymmetric or embedded elliptic delaminations. Numerical studies are conducted including cyclic buckling, contact problems in the post-buckling range and optimisation problems associated with searching from the minimum of the crack growth per one cycle. Finally, the fatigue life i...
Article
The effective elastic moduli for carbon nanotube-based nanocomposites are derived and investigated. The conducted analyses based on the numerical homogenization procedure employ a spatial periodically arranged in a square array representative volume element and the finite element method. The transversely isotropic material having aligned and unifor...
Article
The paper is semitutorial in nature to make it accessible to readers from a broad range of disciplines. Our particular focus is on cataloging the known problems in nanomechanics as eigenproblems. Physical insights obtained from both analytical results and numerical simulations of various researchers (including our own) are also discussed. The paper...
Article
An optimization design methodology of composite materials and structures subjected to fatigue life constraints is presented and discussed in the paper. It is assumed that laminates are made of plies having three different fiber orientations: 0°, ±45°, 90°. A special type of new, discrete design variables is introduced in order to find optimal stack...
Article
The problem of design and failure analysis of composite tank covers is discussed in the paper. Covering systems consist of segmental parts of tanks, independently on tank structure. Composite covers have several advantages connected with structure, transport and assembly. Additionally, the construction divided into several sections enables repair a...
Article
Full-text available
The present paper is devoted to the discussion and review of the non-destructive testing methods mainly based on vibration and wave propagation. In the first part, the experimental methods of actuating and analyzing the signal (vibration) are discussed. The piezoelectric elements, fiber optic sensors and Laser Scanning Doppler Vibrometer (SLDV) met...
Article
The optimization problem in a fuzzy environment is formulated as the λ-problem in which a maximum of the λ parameter is searched for. The results of fatigue-life tests using the fuzzy set methodology were considered. The experimental results are given in the form of the histogram. Each part of the histogram we intend to adjust to the membership fun...
Article
In this study, the fatigue damage progress is analyzed both theoretically and experimentally. The cyclic loading causes damage, reducing the strength until the material can no longer sustain even the service loading. The theoretical analysis is associated with the definition of the damage parameter. The detailed analysis is mainly devoted to the co...
Article
In the paper an analytical method of the solution of the governing nonlinear eigenproblem is proposed. It can be directly applied into the analysis of eigenstates in quantum mechanics. The method is based on the use of the separation of variables for specific shapes of quantum dots. In this way the analysis can be reduced to the discretization alon...
Article
In the paper various experimental results dealing with the buckling phenomena and modes of composite multilayered shells are presented. All experiments were conducted at the Institute of Machine Design. Various shell structures were considered, i.e. cylindrical, torispherical, spherical and sandwich. In addition, the buckling problem of repaired st...