A generalized, ordinary, finite deformation constitutive correspondence model for peridynamics

A finite deformation constitutive framework for peridynamics that uses generalized Kirchhoff stress measures as intermediate quantities in computing the peridynamic material point interactions is proposed. It is shown to be a generalization of a previous finite deformation constitutive correspondenc...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of solids and structures Vol. 141-142; pp. 245 - 253
Main Authors Foster, John T., Xu, Xiao
Format Journal Article
LanguageEnglish
Published New York Elsevier Ltd 01.06.2018
Elsevier BV
Subjects
Angular momentum
Deformation
Elasticity
Kinematics
Velocity
Online AccessGet full text

Cover

More Information
Summary:A finite deformation constitutive framework for peridynamics that uses generalized Kirchhoff stress measures as intermediate quantities in computing the peridynamic material point interactions is proposed. It is shown to be a generalization of a previous finite deformation constitutive correspondence theory and has additional useful properties. The new model is shown to be an ordinary material model and therefore conserves angular momentum without additional restrictions. Additionally, it does not suffer from well-known “surface effects” present in some peridynamic material models, has improved material stability properties, and allows for inclusion of elasto-plastic behavior in a straightforward manner.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2018.02.026