A multiscale simulation technique based on the MLPG methods, and finite deformation mechanics, is developed, implemented, and tested. Several alternate time-dependent interfacial conditions, between the atomistic and continuum regions, are systematically studied, for the seamless multiscale simulation, by decomposing the displacement of atoms in the equivalentcontinuum region into long and shor...

In this paper, three dimensional (3D) static and dynamic analysis of thick plates based on the Meshless Local Petrov-Galerkin (MLPG) is presented. Using the kinematics of a three-dimensional continuum, the local weak form of the equilibrium equations is derived. A weak formulation for the set of governing equations is transformed into local integral equations on local sub-domains by using a uni...

In this article, the transient dynamic analysis of two dimensional coupled non-Fick diffusionelasticity is carried out in functionally graded materials (FGMs) under shock loading using meshless local Petrov–Galerkin (MLPG) method. By using a unit step function as the test functions on small subdomains of circular shape in the local weak-form, the local integral equations (LIEs) are obtained for...

When rat dams consume a diet low in protein during pregnancy, their offspring develop high blood pressure. On a low-protein diet, the endogenous formation of the amino acid glycine is thought to become constrained. Glycine may become conditionally essential, as its rate of endogenous formation is inadequate to meet metabolic needs, and may be limiting for the normal development of the fetus. In...

The Local Point Interpolation Method (LPIM) is a newly developed truly meshless method, based on the idea of Meshless Local Petrov-Galerkin (MLPG) approach. In this paper, a new LPIM formulation is proposed to deal with 4th order boundary-value and initial-value problems for static and dynamic analysis (stability, free vibration and forced vibration) of beams. Local weak forms are developed usi...

in this paper, three dimensional (3d) static and dynamic analysis of thick plates based on the meshless local petrov-galerkin (mlpg) is presented. using the kinematics of a three-dimensional continuum, the local weak form of the equilibrium equations is derived. a weak formulation for the set of governing equations is transformed into local integral equations on local sub-domains by using a uni...

this paper deals with the dynamic analysis of stress field in cylindrically layeredstructures reinforced by carbon nanotube (clsrcn) subjected to mechanical shock loading.application of meshless local integral equations based on meshless local petrov-galerkin(mlpg) method is developed for dynamic stress analysis in this article. analysis is carriedout in frequency domain by applying the laplace...