Finite Element Method - Science method

Conventional slope stability evaluation is limited to deterministic analyses, in which only mean values are used in the numerical simulations. However, natural soils are spatial random fields due to highly complex sediment deposition. Deterministic calculation ignoring soil spatial variability can significantly underestimate the safety factor, posi...

In an era where underground transportation infrastructure is increasingly vital, the construction of tunnels across fault lines has become a necessary challenge. This study addresses the critical issue of assessing the impact of fault ruptures on shallow tunnels, with a particular emphasis on the variability of soil parameters. We employ the Stocha...

Thermomechanical stress induced by through-silicon vias (TSVs) plays an important role in the performance and reliability analysis of 2.5D/3D ICs. While the finite element method (FEM) adopted by commercial software can provide accurate simulation results, it is very time-and memory-consuming for large-scale analysis. Over the past decade, the line...

Low-angle grain boundaries (LAGBs) are one of the solidification defects in single-crystal nickel-based su-peralloys and are detrimental to the mechanical properties. The formation of LAGBs is related to dendrite deformation, while the mechanism has not been fully understood at the mesoscale. In this work, a model coupling dendrite growth, thermal-...

In the progressive collapse, the structural topology changed dynamically as failures propagate. Representing reinforced concrete (RC) frames with graph data leverages the topology of beam-column joints and structural components, enabling graph neural networks (GNNs) to predict the failure propagation. Graph convolutional networks (GCNs), a specific...

Plate anchors play a vital role in various geotechnical structures, particularly in offshore settings where high pullout capacity is required. The current partial factor method accounts for uncertainties in loads and material properties separately using partial load and material factors, but it may not well address the effects of site investigation...

Adhesive stress distribution in aeronautical structures with stiffeners and repaired by composite patches Distribuição de tensões adesivas em estruturas aeronáuticas com reforços e reparadas por remendos compósitos Distribución de la tensión adhesiva en estructuras aeronáuticas con rigidizadores y reparadas mediante parches de material compuesto AB...

We present a quantitative assessment of the impact of high-order mappings on the simulation of flows over complex orography. Curved boundaries were not used in early numerical methods, whereas they are employed to an increasing extent in state of the art computational fluid dynamics codes, in combination with high-order methods, such as the Finite...

Resumo Amadeira lamelada colada cruzada (MLCC) é um produto empregado na forma de painéis que apresenta como desafio a consideração conjunta da disposição ortogonal de lamelas com o comportamento ortotrópico da madeira. Para avaliar o comportamento mecânico de painéis de MLCC, em flexão simples, é possível recorrer a teorias de placas, métodos numé...

Resumo Pilares são elementos estruturais de grande importância numa edificação e que durante sua vida útil podem ser submetidos a um processo de reforço para aumento da sua capacidade. O reforço com Polímeros Reforçados com Fibras (PRF) é atraente pela facilidade de aplicação e não modificação da seção. O material vem sendo utilizado em pilares pel...

The contribution at hand introduces a novel formulation that couples the Material Point Method (MPM) and Finite Element Method (FEM) based on nonlocal mechanics using an implicit time integration scheme. A constitutive formulation at finite deformations to describe fiber-reinforced concrete is applied. A damage approach within the microplane framew...

To facilitate simulations in the design of electrical machines with a laminated core, often only a slice model is considered instead of the entire machine. We propose a method, where the expensive 3D eddy current problem of the slice model is replaced by a cheap static magnetic field problem with an effective material in a 2D finite element model....

Metal cutting processes contribute significant share of the added value of industrial products. The need for machining has grown exponentially with increasing demands for quality and accuracy, and despite of more than a century of research in the field, there are no reliable and accurate models that describe all the physical phenomena needed to opt...

Glued laminated timber (glulam) beams manufactured with glued steel bars can achieve improvements in their mechanical performance and the effects of the arrangement of steel bars in the cross-section are of technological interest. This study aimed to evaluate the mechanical behavior of beams with symmetric reinforcements (compression and tension zo...

Structural systems often undergo changes due to variations in the usage, the loading conditions, or the presence of defects in their elements. The problem can be exacerbated when there is insufficient overlap between reinforcing bars in critical moment zones. This article investigates the behavior of reinforced concrete cantilever beams exhibiting...

Designing the topology of three-dimensional structures is a challenging problem due to its memory and time consumption. In this paper, we present a robust and efficient algorithm for solving large-scale 3D topology optimization problems. The robustness of the algorithm is ensured by adopting a globally convergent sequential linear programming metho...

This study investigates the application of the inverse finite element method (iFEM) in fracture mechanics by developing a novel two-dimensional six-node triangular inverse crack-tip element. With its simplified formulation, the proposed inverse element is computationally efficient and ensures strain singularity at the crack tip by repositioning mid...

FEM/DEM ABSTRACT: Currently, many underground mines are reaching depths exceeding 1000 m, subjecting the rock mass to a higher level of stress. These events involve the ejection of blocks with high kinetic energy, causing significant damage in infrastructure and loss of human lives. The objective of this research is to conduct a back analysis of th...

The present paper investigates the accuracy of the finite element method (FEM) in stochastic setting. The performance of the FEM for solving the transversal vibration eigenvalue problem of a uniform, homogeneous beam in presence of uncertainties is considered aiming to establish how accurate the method is in predicting the beam’s reliability as wel...

When solving various problems in the field of mechanical engineering, an engineer has to face problems that cannot be solved by exact methods due to significant mathematical difficulties. Equations or systems of equations, as a rule differential equation, which describe the problem have no exact solution. When solving such problems in deformable so...

Article deals with the calculation issues of deflection and stress in the rail and pins, which are a part of the anchoring design for rack-railway tracks. The rack-railway track, is intended for the transport of excessively heavy loads and people inside mines. A longitudinal track dip can be up to ± 35deg. Practical application is focused on the ca...

The paper outlines the essential conditions required to achieve measurements of low uncertainty for the thermal conductivity of solids using the transient hot-wire technique. The paper aims to provide rigorous guidelines for the correct implementation of this technique for solids. For solid materials, the study shows that an uncertainty of as littl...

O presente trabalho propõe a implementação de um modelo computacional, empregando o Método dos Elementos Finitos (MEF) e concebido a partir da teoria de viga sobre base elástica de Winkler, capaz de simular o comportamento do pavimento ferroviário sobre a ação das cargas oriundas do tráfego. Para a calibração das propriedades físicas do sistema e d...

This paper is dedicated to structure-preserving spatial discretization of shallow water dynamics. First, a port-Hamiltonian formulation is provided for the two-dimensional rotational shallow water equations with viscous damping. Both tangential and normal boundary port variables are introduced. Then, the corresponding weak form is derived and a par...

In this article, a broadband compact Si3N4-on-SOI platform-based hybrid plasmonic waveguide (HPW) for polarization beam splitters (PBS) have been proposed for low insertion loss (IL) and high extinction ratio (ER). The proposed PBS consists of two parallel waveguides separated by a gap. One waveguide is HPW, consisting of a Si/Si3N4/Au stake separa...

Rotor unbalance stands as one of the primary causes of vibration and noise in rotating equipment. Accurate identification of unbalanced positions enables targeted measures for balance correction, thereby reducing vibration and noise levels and enhancing the operational efficiency and stability of the equipment. However, the complexity of rotor stru...

In this paper we propose a new finite element method for solving elliptic optimal control problems with pointwise state constraints, including the distributed controls and the Dirichlet or Neumann boundary controls. The main idea is to use energy space regularizations in the objective functional, while the equivalent representations of the energy s...

When considering the vibroacoustical behavior of the family of violin instruments, especially related to their construction, numerous beliefs and theories coexist that are not necessarily compatibles between each other. More specifically, the resulting sound or dynamics of the instrument are associated to tonewood properties and geometry, but with...

The metalworking industry is currently facing a shortage of human resources. Furthermore, there is a need for a shift to mass customization, which enables low-volume production at a cost equivalent to that of mass production. To satisfy the demand, it is necessary to increase labor productivity per worker by shortening production lead times. Automa...

A multiscale approach that couples the finite-element method (FEM) and discrete-element method (DEM) has been utilized to investigate the mechanical response of slantingly loaded horizontal plate anchors in sand. This multiscale approach overcomes the limitations of conventional constitutive models by directly obtaining the sand constitutive relati...

Gas film floating ring seals are extensively utilized in aircraft engines, and precise analysis of gas film performance is crucial for ensuring reliable seal design. For this reason, this paper proposes the Reynolds–Bernoulli small-perturbation (RBSP) model to analyze the performance of the gas film based on the conservation of mechanical energy. T...

Internal cooling systems are essential for turning operations to improve the efficiency and quality of the machining process. In this paper, application of the virtual machining system is developed to analyze the effects of internal cooling systems on heat transfer and tool wear in turning operations of titanium alloys Ti6Al4V. The cutting forces a...

Current gear design guidelines and standards have given little or no consideration to the increase in strength that can be achieved by using ultra-clean steels. In order to fully exploit the potential of ultra-clean steels, it is therefore necessary to use higher-quality calculation methods that combine FEM stress calculations with local strength c...

In this article, we present a novel B-Polynomial Approach for approximating solutions to partial differential equations (PDEs), addressing the multiple initial conditions. Our method stands out by utilizing two-dimensional Bernstein polynomials (B-polynomials) in conjunction with their operational matrices to effectively manage the complexity assoc...

With the advancement of face reconstruction (FR) systems, privacy-preserving face recognition (PPFR) has gained popularity for its secure face recognition, enhanced facial privacy protection, and robustness to various attacks. Besides, specific models and algorithms are proposed for face embedding protection by mapping embeddings to a secure space....

Sustainable building construction requires a design process that ensures long-term structural durability and minimizes risks of failure or damage during construction and throughout the structure’s service life. One critical aspect of this process is the excavation of simple basements, which often requires discontinuously supported excavation (shiel...

Silicon carbide-coated carbon fiber-reinforced carbon aerogel (SiC-C/CA) composites are ideal for high-temperature applications due to their ability to endure rapid temperature changes without losing structural integrity. However, assessing and optimizing the Thermal Shock Resistance (TSR) of these composites is challenging due to the complexities...

Kekuatan kapasitas geser balok beton dapat ditingkatkan dengan penggunaan serat baja tipe ujung bengkok pada campuran beton. Penelitian ini bertujuan untuk mengevaluasi pengaruh penambahan serat baja dengan tipe ujung bengkok pada beton terhadap kapasitas geser balok beton bertulang. Pembuatan benda uji dibuat berupa balok bertulangan dengan/tanpa...

Bu çalışmada, tahıl depolaması amacıyla farklı sac kalınlıkları ve destek elemanlarına sahip 85 adet silo modeli oluşturulmuştur. Silo boyutları,1500×3000 mm sac tabakalar kesilmeksizin kullanılarak çapı 4,77 metre ve yüksekliği (çatı hariç) 10,5 olarak belirlenmiş ve araştırma süresince sabit tutulmuştur. Çalışmanın temel amacı, çelik siloların ma...

Simulation-based optimization often requires many simulations and can be difficult to adapt due to time constraints. To solve this problem, constructing approximators for simulations, such as the finite element method using machine learning, has attracted attention. However, creating these approximators requires a huge amount of training data. Ther...

The ultimate load-carrying capacity of concrete-filled steel tubular (CFST) columns exposed to monotonic loadings can be greatly increased by strengthening those columns, and the occurrence of the steel tube's outward buckling can be postponed. The current research aims to study the possibility of improving the structural characteristics of CFST co...

In this paper, we propose a Nitsche’s extended conforming virtual element method, which combines the Nitsche’s extended finite element method with the conforming virtual element method, for solving stokes interface problems with the unfitted-interface mesh. By introducing some stabilization terms and penalty terms, as well as some special terms def...

We consider a numerical solution of the mixed dimensional discrete fracture model with highly conductive fractures. We construct an unstructured mesh that resolves lower dimensional fractures on the grid level and use the finite element approximation to construct a discrete system with an implicit time approximation. Constructing an efficient preco...

Abrasive water jet (AWJ) is one of the most modern rock drilling methods. Many numerical investigations have been conducted to study the changes occurring the rock microstructure (i.e., near wall rock damage) during the AWJ rock cutting process. Most of the existing models, however, did not consider the breakage of abrasive particles used for AWJ d...

Screw-groove piles, a new type of precast pile, are economically and environmentally friendly and improve the load-bearing performance of piles through a unique screw-groove structure. To reveal the load-transfer characteristics and bearing mechanism of the screw-groove pile, the axial force, load–settlement curve, skin friction, bearing capacity,...

As a key component, the performance of pantograph slide plate is directly related to the normal operation of train and the stability of power supply. The pantograph slide plate is exposed to the complex environment and thus it would face mechanical impacts. In this paper, two types of slide plate models (wide and narrow) are constructed to explore...

The bottom frame masonry structure (BFMS) in a semi-ruined state is vulnerable to secondary collapse under strong aftershocks, posing a significant risk to rescuers during post-earthquake operations. Therefore, investigating the mechanisms and characteristics of secondary collapse of BFMS in a semi-ruined state (BFMS-SR) under aftershocks is critic...

The phenomenon of concrete cracking is a major problem plaguing the engineering community, and one of the major factors causing cracking is temperature loading, while thin-walled concrete, such as hydraulic tunnel lining and other similar projects, makes the impact of this phenomenon more prominent due to its special structure and role. To address...

This work presents a photonic crystal fiber (PCF)–based surface plasmon resonance (SPR) biosensor with dual cores and bilateral-surface detection capability to enhance the early identification of cancerous cells. The biosensor processes cell samples including both malignant cancerous cells and healthy normal cells through varying refractive indices...

The portal method is one of the common approximate methods in the analysis of statically indeterminate structures. This method is used to analyze the frames which subjected to lateral loadings such as wind, earthquake, and blast loadings in Zone Case Study. The portal method is still used in the planning phase of projects, preliminary designs, and...

Acoustic liner samples with rectangular, sharp chamber bends are 3D-printed and tested in the NASA Normal Incidence Tube. The angle of the bend is varied from 0 to 180 degrees. Four different methods are used to predict the impedance behavior of these samples: (1) midline-length assumption, (2) Cummings correction for curved duct bends, (3) Cumming...

Launching nose is prone to wind-induced vibration due to low frequencies and damping during incremental launching construction (ILC). Finite element method (FEM) and field measurements were carried out to obtain modal parameters at different stages, and tuned mass damper (TMD) systems were investigated to mitigate its vibration. It is found that sy...

Fractional differential equations (FDEs) have gained significant attention due to their ability to model complex physical phenomena exhibiting memory and hereditary properties, which cannot be captured by classical integer-order models. Solving fractional boundary value problems (FBVPs) is a challenging task, particularly due to the non-local natur...

This study delves into optimizing thermal control using a PID controller within a two-dimensional T-shape vented cavity by employing a micropolar ferrofluid subjected to forced convection. The T-shaped cavity with heated bottom walls and a cold top is filled with a micropolar ferrofluid that enters through the input port at room temperature and var...

Pipe cooling is an important measure for controlling the temperature in mass concrete structures, so it is one of the key problems to specifically simulate the effect of the cooling pipes in temperature field analysis. Because the size of cooling pipe is quite small from that of mass concrete structure, its exact simulation is the focus of simulati...

Objectives: The article reviews heat transfer mechanisms in the hot stamping process, highlighting models to calculate the interfacial heat transfer coefficient (IHTC), crucial for optimizing the cooling and quality of formed products. Theoretical Framework: In hot stamping of high-strength steels, the IHTC is affected by variables such as contact...

A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace, and determining the coefficients of the linear combination. New schemes were developed to form the basis of the local approximation subspace, which...

Topology optimization is essential for the efficient distribution of structural form within the desired design domain, ensuring that structural elements are positioned to resist the requested forces and the specific boundary conditions for which they were designed. Therefore, the main objective of the article is the multi-material topological optim...

In this development, a modal analysis of free-free and fixed-free beams undergoing free vibration is investigated in Ansys APDL (15.0) based on Finite Element Analysis (FEA) and analytically using Euler-Bernoulli beam theory. Three different materials including: Steel, Aluminum, and Copper are considered in this study. The numerical results obtaine...

Similar to armature back electromotive force (armature back-EMF), the back-EMF also exists in the field winding of hybrid excited machines. However, the existence of field back electromotive force (field back-EMF) is harmful to the safe and stable operation of machine systems, e.g., higher losses, lower efficiency, higher torque ripple, and reduced...

According to the Donnell–Mushtari shell theory, this work presents a closed-form solution procedure for free vibration of open laminated circular cylindrical shells with arbitrary homogeneous boundary conditions (BCs). The governing differential equations of free vibration are derived from the Rayleigh quotient and solved by the iterative separatio...

Helical milling is a hole enlarging process that makes holes with high quality and efficiency compared to traditional drilling. Since the power consumption is directly affected by the cutting forces, it is necessary to estimate the magnitude of the cutting forces and the amplitude of the cutter vibration in x, y and z directions with respect to chi...

Spacer meshes in electrodialysis (ED) play a crucial role in influencing fluid and electric field distributions during mass transfer. This study employed finite element analysis using real‐world parameters to explore how spacer mesh geometry and material affect mass transport. Comparisons among different wire mesh configurations revealed increased...

Multi-chip parallel power modules are highly favored in applications requiring high capacity and high switching frequency. However, the dynamic current imbalance between parallel chips caused by asymmetric layouts limits the available capacity. This paper presents a method to optimize dynamic current distribution by adjusting the lengths and connec...