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Publications (35)
In biomechanical study, the intricate nature of human skin presents substantial untapped potential due to its biological structure, particularly in simulation and computational biomechanics. Previous studies have produced approximate results using second-order Ogden material for the human body. However, there is still a lack of computational eviden...
The objective of the work is to examine the static and dynamic behavior of micro beams using a beam finite element, with an emphasis on size-dependent effects. The model employs a Timoshenko beam formulation and is based on the Modified Couple Stress Theory (MCST). The main characteristic of the new element is that it incorporates a length scale pa...
By utilizing characteristics of neural networks, the Physics-Informed Neural Network (PINN) is truly an innovative method in dealing with differential equations. Despite being proposed and developed recently, it still brings an outstanding way to deal with traditional mechanics problems. Regarding PINN as a differential equation solver, the governi...
Hyperelastic materials are primarily common in real life as well as in industry applications, and studying this kind of material is still an active research area. Naturally, the characteristic of hyperelastic material will be expressed when it undergoes large deformation, so the geometrical nonlinear effect should be considered. To analyze the beha...
An extended meshfree method is employed in this paper for investigating the dynamic behaviour of cracked plates based on the first-order shear deformation theory (FSDT). The FSDT is a straightforward formulation with the assumption of first-order shear deformation as its name implies, which is appropriate for relatively thick plates. In this study,...
An extended meshfree method for analyzing cracked plates based on Reissner-Mindlin theory is presented in this paper. Among a variety of meshfree formulations, the radial point interpolation method (RPIM) is chosen in this study due to the satisfaction of the Kronecker delta property. The essential boundary conditions, therefore, are easily imposed...
This paper investigates the fracture behavior of plates with through-thickness crack by using the extended concept of the Radial Point Interpolation Method (RPIM). The attractiveness of the RPIM shape functions is the satisfaction of the Kronecker delta property providing direct imposition of essential boundary conditions. In the extended concept,...
The extended meshfree method is adopted herein for analyzing hyperelastic solids with an initial crack which are considered to be incompressible. This method is developed based on the extended radial point interpolation method (XRPIM), in which the Heaviside function and the asymptotic function are utilized to describe the displacement discontinuit...
Shell structure is very popular in vehicle body design and building construction. Curved shell structures are shaped to transmit external forces by tensile, compressive that act on their surfaces. In this paper, a meshfree method is developed to analyze the static behavior of the curved shell based on the first-order shear deformation theory (FSDT)...
A very important problem in the research of layer structures is the modeling of cracks on the material interface. Due to the complex physical and mechanical properties of this structure, the simulation of discontinuities such as cracks and material interface by traditional finite element methods requires a very fine mesh density. Furthermore, mesh...
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In this paper, the discrete shear gap (DSG) is for the first time incorporated into the meshfree radial point interpolation method (RPIM) for nonlinear static analysis of functionally graded plates based on Reissner–Mindlin theory. The technique of DSG, originally developed for finite element analysis during the last decades, is re-formulated to be...
This paper presents a numerical investigation of single and multiple cracks in hyperelastic solids by using an extended moving Kriging meshfree method. The behavior of crack such as jump of displacement field across crack surface is mathematically captured by enriched functions, which are selected based on asymptotic solution. For meshless numerica...
The Kirchhoff-Love plate theory is appropriate for analysing thin plate structures. In a simple form, only one degree of freedom (per node) is needed to describe the behaviour of the plate, thus saving the computational cost. Besides, the analysis of cracked structures is important because it is related to the lifetime of the structures. Therefore,...
This work aims at presenting a novel four-node quadrilateral element, which is enhanced by integrating with discrete shear gap (DSG), for analysis of Reissner-Mindlin plates. In contrast to previous studies that are mainly based on three-node triangular elements, here we, for the first time, extend the DSG to four-node quadrilateral elements. We fu...
Hyperelastic materials are special materials that possess the non-linear material property. In these materials, the stress-strain relation is derived from the strain energy density function. An interesting property of these materials like rubber is the ability of elastic response when it is subjected to large deformations. That means when the load...
The present work is devoted to the extension of the non-gradient approach, namely Proportional Topology Optimization (PTO), for compliance minimization of three-dimensional (3D) structures. Two schemes of material interpolation within the framework of the solid isotropic material with penalization (SIMP), i.e. the power function and the logistic fu...
In the MPM algorithm, all the particles are formulated in a single-valued velocity field hence the non-slip contact can be satisfied without any contact treatment. However, in some impact and penetration problems, the non-slip contact condition is not appropriate and may even yield unreasonable results, so it is important to overcome this drawback...
In this paper, an extended meshfree method approach is developed for numerical analysis of cracked plates using the First order Shear Deformation Theory - FSDT. Extrinsic enriched functions are employed to capture the jump in deflection and rotation fields, as well as the stress singularity in the vicinity of crack tip. Meshfree approximation of fi...
Hyperelastic materials are considered as special category of elastic solid materials because of their nonlinear complicated constitutive laws. Due to large strain state, the behaviour of such materials is often considered in finite deformation analysis. The nonlinear large deformation behavior of such materials is important. In this study, a novel...
The article presents a numerical model for estimation of heat transfer parameters, e.g. thermal conductivity and convective coefficient, in two-dimensional solid bodies under steady-state conduction. This inverse problem is stated as an optimization problem, in which input is reference temperature data and the output is the design variables, i.e. t...
This paper presents for the first time an improved meshfree particle method without the need for background cells in terms of numerical integration for thermal-mechanical crack growth analysis. In this work, both adiabatic and isothermal crack surfaces are considered. Asymptotic solutions-based enriched functions are incorporated into the approxima...
In this paper, the recent development of extended consecutive-interpolation 4-node quadrilateral element (XCQ4), which goes beyond certain limitations of conventional methods, is further employed to study dynamic and static thermoelastic fracture problems. In particular, static stress intensity factors (SIFs) and transient dynamic responses of two-...
In this paper, computation and analysis for transient dynamic stress intensity factors (DSIFs) of two-dimensional fracture problems of functionally graded materials (FGMs) by extended meshfree methods are described. The extended moving Kriging based meshfree method (X-MK) is first introduced and compared with recently developed extended meshfree ra...
This paper presents a novel approach for fracture analysis in two-dimensional orthotropic domain. The proposed method is based on consecutive-interpolation procedure (CIP) and enrichment functions. The CIP were recently introduced as an improvement for standard Finite Element method, such that higher-accurate and higher-continuous solution can be o...
Investigation of transient dynamic stress intensity factors (DSIFs) of two-dimensional fracture problems of isotropic solids and orthotropic composites by an extended meshfree method is described. We adopt the recently developed extended meshfree radial point interpolation method (X-RPIM), which combines either the standard branch functions or the...
A meshless method based on radial point interpolation was developed as an effective tool for solving partial differential equations, and has been widely applied to a number of different problems. Besides its advantages, in this paper we introduce a new way to improve the speed and time calculations, by construction and evaluation the support domain...
The purpose of this paper is simulating the crack propagation in steel structures with isogeometry analysis (IGA). In this method, CAD model is integrated into the CAE model by using non uniform rational B-Splines (NURBS) function. Crack propagation in isotroptic linear elastic material will be presented. The numerical example is a rectangular plat...
A consecutive-interpolation 4-node quadrilateral finite element (CQ4) is further extended to solve twodimensional heat transfer problems, taking the average nodal gradients as interpolation condition, resulting in highorder continuity solution without smoothing operation and without increasing the number of degrees of freedom. The implementation is...
Functionally graded materials (FGMs) have been widely used as advanced materials characterized by variation in properties as the dimension varies. Studies on their physical responses under in-serve or external loading conditions are necessary. Especially, crack behavior analysis for these advanced material is one of the most essential in engineerin...
Orthotropic materials are particular type of anisotropic materials; In contrast with isotropic materials, their properties depend on the direction in which they are measured. Orthotropic composite materials and their structures have been extensively used in a wide range of engineering applications. Studies on their physical behaviors under in-work...
The so-called T-stress, or second term of the William (1957) series expansion for linear elastic crack-tip fields, has found many uses in fracture mechanics applications. In this paper, an interaction integral method for calculating the T-stress for two-dimensional crack problems using the extended radial point interpolation method (XRPIM) is prese...
