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On a virtual element formulation for trusses and beams
The virtual element method (VEM) was developed not too long ago, starting with the paper [
2 ] related to elasticity in solid mechanics. The virtual...
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Strain Gradient Finite Element Formulation of Flexoelectricity in Ferroelectric Material Based on Phase-Field Method
Flexoelectricity is a two-way coupling effect between the strain gradient and electric field that exists in all dielectrics, regardless of point...
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A stabilized one-point integrated mixed formulation for finite element and meshfree methods in modeling nearly incompressible materials
This study develops a stabilized Galerkin mixed formulation within a one-point integrated framework to model nearly incompressible materials. The...
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Concurrent semi-Lagrangian reproducing kernel formulation and stability analysis
The semi-Lagrangian Reproducing Kernel (SL RK) has been successfully applied to simulations of extreme deformation problems thanks to intensive...
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Nonlinear free vibrations of Timoshenko–Ehrenfest beams using finite element analysis and direct scheme
In this work, nonlinear free vibrations of fully geometrically exact Timoshenko–Ehrenfest beams are investigated. First, the exact strong form of the...
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Flexural and eigen-buckling analysis of steel-concrete partially composite plates using weak form quadrature element method
Flexural and eigen-buckling analyses for rectangular steel-concrete partially composite plates (PCPs) with interlayer slip under simply supported and...
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Consistency, precision, and accuracy assessment of the collocation boundary element method for two-dimensional problems of potential and elasticity
The collocation boundary element method, as developed and taught in the traditional books, suffers from severe inconsistencies, partly responsible...
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A perturbation-based stochastic nonlinear beam element formulation using the B-spline wavelet on the interval finite element method
The current work presents a formulation of stochastic B-spline wavelet on the interval (BSWI)-based wavelet finite element method (WFEM) for analysis...
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A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation
In this paper, a weak form quadrature element formulation of a geometrically nonlinear shell model is proposed and applied for analysis of laminated...
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One-point quadrature of higher-order finite and virtual elements in nonlinear analysis
In the present article, a stability- and consistency-preserving integration scheme for polynomial Galerkin approaches of arbitrary order is...
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A Consistent Finite Element Formulation of the Geometrically Non-linear Reissner-Mindlin Shell Model
We present an objective, singularity-free, path independent, numerically robust and efficient geometrically non-linear Reissner-Mindlin shell finite...
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Assessment of New Quasi-3D Finite Element Model for Free Vibration and Stability Behaviors of Thick Functionally Graded Beams
A new quasi-3D finite element model is formulated and implemented in this research to evaluate the free vibration and stability behaviors of thick...
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Modeling Elastic Wave Propagation in Fiber-Reinforced Media Using Lagrange Spectral Element Method
In the present study, spectral element method is applied for the simulation of two-dimensional wave propagation in linear elastic fiber-reinforced...
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Stress function and its finite element implementation for elastostatic plain strain orthotropic problems of modified couple stress theory
In this work, the stress function of the orthotropic plane strain problems in the modified couple stress theory (MCST) is first proposed and its...
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Finite Element Analysis of Hyperelastoplastic Mixed-Hardening Materials Under Plane Stresses
A finite element formulation for the analysis of elastoplastic materials under finite strain levels, plane stress conditions, and mixed hardening is...
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Geometrically Exact Finite Element Formulation for Tendon-Driven Continuum Robots
Tendon-driven continuum robots achieve continuous deformations through the contraction of tendons embedded inside the robotic arms. For some...
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Non-local finite element formulation for stability analysis of thin-walled nanobeams with varying I-section
In this paper, the flexural–torsional stability analysis of taperedS thin-walled nanobeams with doubly symmetric I-section subjected to transverse...
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Fourth order phase field modeling of brittle fracture by Natural element method
Contrary to the second-order Phase field model (PFM) of fracture, fourth-order PFM provides a more precise representation of the crack surface by...
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Dynamic stiffness formulation for vibration characteristics analysis of bi-dimensional functionally graded annular plate of variational thickness
In this paper, a generalized formulation for vibration characteristics investigation of bi-dimensional functionally graded martial annular plates of...
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An efficient quadrature method for vibration analysis of thin elliptical plates with continuous and discontinuous edge conditions
Map** an irregular domain into a square one is a common technique in analyzing problems of plates and shells with irregular shapes. For the...
