This study presents a novel peridynamic model for geometrically nonlinear analysis of three-dimensional beam structures. The formulations strain energy densities is obtained by using Total Lagrange formulation. structures are based on the principle virtual displacements. capability proposed demonstrated considering large deformations straight beams and curved subjected to different loading cond...

This study presents a novel ordinary state-based peridynamic model for geometrically nonlinear analysis of plates. The strain energy density and equations motion plate in peridynamics are obtained based on the principle virtual displacements by using Total Lagrange formulation. numerical procedure is also provided. accuracy proposed validated considering large deformations subjected to bending ...

In this paper, topology optimization of both geometrically and materially nonlinear structure is studied using a general displacement functional as the objective function. In order to consider large deformation, e2ective stress and strain are expressed in terms of 2nd Piolar–Kirchho2 stress tensor and Green–Lagrange strain tensor, and constitutive equation is derived from the relation between t...