cells (HFGMC), and finite element method (FEM) to capture the nonlinear response, due to progressive failure, of a unidirectional fiber-reinforced polymer matrix composite (PMC) under a combination of transverse tension/compression and transverse shear loading. The focus is on developing a semi-analytical methodology that is insensitive to changes in the density of the numerical discretization,...

this paper investigates the lateral vibration of single-layered graphene sheets based on a new theory called doublet mechanics with a length scale parameter. after a brief reviewing of doublet mechanics fundamentals, a sixth order partial differential equation that governs the lateral vibration of single-layered graphene sheets is derived. using doublet mechanics, the relation between natural f...

The numerical solution of boundary value problems in solid mechanics is dominated by the Finite Element Method (FEM). present study provides an alternative approach using Theory Functional Connections (TFC) for solving this type. Here TFC used to solve multiple beam Timoshenko–Ehrenfest theory which accounts transverse shear strain. results obtained are then compared those with both FEM and ana...

The Finite Element Method (FEM) has been used in the broad field of continuum mechanics in engineering disciplines for several decades. However, recently, some scholars have attempted to apply the method to social science phenomena. What is the scope of using FEM in social science-related fields? Anchored in the literature on social sciences, this paper, firstly, reviews the scope of using FEM ...

This paper describes a web-based finite element program called portal of damage. The purpose of the program is the numerical simulation of reinforced concrete framed structures, typically buildings, under earthquakes or others exceptional overloads. The program has so far only one finite element based on lumped damage mechanics. This is a theory that combines fracture mechanics, damage mechanic...

The aim of this paper is to study the feasibility of using (irreversible) entropy production as driving force for a moving mesh. Such a method should be able to capture or track physical phenomena such as viscous and thermal boundary layers, shock waves and regions with chemical reactions. A brief outline is given for the FEM-ALE approach, which forms the basis of the moving mesh method. Mesh v...

The response of glasses subjected to high pressures can be classified into three classes : normal, anomalous and intermediate depending on the deformation mechanism and the cracking pattern. The silica glass which is the scope of this work is a typical anomalous glass. The numerical study of this behavior with continuum methods (e.g. FEM, CNEM) presents several difficulties and drawbacks. Becau...