Large deformation analysis of rubber based on a reproducing kernel particle method
type: Item
instance of: scholarly article
title: Large deformation analysis of rubber based on a reproducing kernel particle method
zbMATH Open document ID: 0888.73073
published in: Computational Mechanics
publication date: 1997-01-01T00:00:00Z
review text: A nonlinear formulation of the reproducing kernel particle method (RKPM) is presented for the large deformation analysis of rubber materials which are considered to be hyperelastic and nearly incompressible. In this approach, the global nodal shape functions derived on the basis of RKPM are employed in the Galerkin approximation of the variational equation to formulate the discrete equations of a boundary-value hyperelasticity problem. Existence of a solution in RKPM discretized hyperelasticity problem is discussed. A Lagrange multiplier method and a direct transformation method are presented to impose essential boundary conditions. The characteristics of material and spatial kernel functions are discussed. Several numerical examples are presented.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1066658
zbMATH Keywords: Galerkin approximation of variational equation
zbMATH Keywords: existence of solution
zbMATH Keywords: global nodal shape functions
zbMATH Keywords: boundary-value hyperelasticity problem
zbMATH Keywords: Lagrange multiplier method
zbMATH Keywords: direct transformation method
author: J. S. Chen
author: Chunhui Pan
author: C. T. Wu
MaRDI profile type: Publication
full work available at URL: s004660050170
OpenAlex ID: W2026871447
DOI: 10.1007/S004660050170
description: scientific article; zbMATH DE number 1066658