Sensitivity analysis for failure and damage in dynamically loaded tensile bars
type: Item
instance of: scholarly article
title: Sensitivity analysis for failure and damage in dynamically loaded tensile bars
zbMATH Open document ID: 0910.73053
DOI: 10.1016/S0045-7825(97)00289-2
author: Ahmed K. Noor
author: A. Needleman
author: Jeanne M. Peters
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1999-04-21T00:00:00Z
review text: We present computational procedure for evaluating the sensitivity coefficients of porous viscoplastic solids under dynamic loading. The effects of finite strains, material strain and strain-rate hardening, and the thermal softening due to adiabatic heating are incorporated into the formulation. A critical void volume fraction criterion is used to identify the initiation of failure. The equations of motion emanating from a finite element semi-discretization are integrated using an explicit central difference scheme. First- and second-order sensitivity coefficients of the response quantities (derivatives with respect to various material parameters) are evaluated using a direct differentiation approach in conjunction with an automatic differentiation software facility. Finally, we present numerical results for tensile specimens subjected to impact loading.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S20
Mathematics Subject Classification ID: 74C10
zbMATH DE Number: 1210872
zbMATH Keywords: porous viscoplastic solids
zbMATH Keywords: finite strains
zbMATH Keywords: material strain
zbMATH Keywords: strain-rate hardening
zbMATH Keywords: thermal softening
zbMATH Keywords: adiabatic heating
zbMATH Keywords: critical void volume fraction criterion
zbMATH Keywords: finite element semi-discretization
zbMATH Keywords: explicit central difference scheme
zbMATH Keywords: direct differentiation approach
zbMATH Keywords: automatic differentiation software
zbMATH Keywords: impact loading
MaRDI profile type: Publication
cites work: Material Failure by Void Growth to Coalescence
cites work: Sensitivity analysis of the non‐linear dynamic viscoplastic response of 2‐D structures with respect to material parameters
cites work: Q4273122
cites work: A tangent modulus method for rate dependent solids
cites work: The application of automatic differentiation to problems in engineering analysis
full work available at URL: s0045-7825(97)00289-2
OpenAlex ID: W2094287771
description: scientific article; zbMATH DE number 1210872