On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation

C.B. Hirschberger; E. Kuhl; P. Steinmann

doi:10.1016/j.cma.2007.02.015

On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation

C.B. Hirschberger, E. Kuhl, P. Steinmann

Mechanics of Materials

Research output: Contribution to journal › Article › Academic › peer-review

41 Citations (Scopus)

Abstract

A micromorphic continuum formulation is presented in the context of both, the spatial- and the material-motion problem. For bothapproaches the kinematics as well as the balance relations together with the various representations of the occurring stress fields arederived. The relations between the spatial-motion problem and the material-motion problem quantities are examined in detail. Upona hyperelastic constitutive assumption a finite-element approximation is derived and the material–force method, which is especially suitedfor defect-mechanics problems, is successfully applied to the present micromorphic continuum theory.

Original language	English
Pages (from-to)	4027-4044
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	196
Issue number	41-44
DOIs	https://doi.org/10.1016/j.cma.2007.02.015
Publication status	Published - 2007

Access to Document

10.1016/j.cma.2007.02.015

Cite this

@article{2daf31c33b3243859e9aa95cc9e07c57,

title = "On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation",

abstract = "A micromorphic continuum formulation is presented in the context of both, the spatial- and the material-motion problem. For bothapproaches the kinematics as well as the balance relations together with the various representations of the occurring stress fields arederived. The relations between the spatial-motion problem and the material-motion problem quantities are examined in detail. Upona hyperelastic constitutive assumption a finite-element approximation is derived and the material–force method, which is especially suitedfor defect-mechanics problems, is successfully applied to the present micromorphic continuum theory.",

author = "C.B. Hirschberger and E. Kuhl and P. Steinmann",

year = "2007",

doi = "10.1016/j.cma.2007.02.015",

language = "English",

volume = "196",

pages = "4027--4044",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0045-7825",

publisher = "Elsevier B.V.",

number = "41-44",

}

TY - JOUR

T1 - On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation

AU - Hirschberger, C.B.

AU - Kuhl, E.

AU - Steinmann, P.

PY - 2007

Y1 - 2007

N2 - A micromorphic continuum formulation is presented in the context of both, the spatial- and the material-motion problem. For bothapproaches the kinematics as well as the balance relations together with the various representations of the occurring stress fields arederived. The relations between the spatial-motion problem and the material-motion problem quantities are examined in detail. Upona hyperelastic constitutive assumption a finite-element approximation is derived and the material–force method, which is especially suitedfor defect-mechanics problems, is successfully applied to the present micromorphic continuum theory.

AB - A micromorphic continuum formulation is presented in the context of both, the spatial- and the material-motion problem. For bothapproaches the kinematics as well as the balance relations together with the various representations of the occurring stress fields arederived. The relations between the spatial-motion problem and the material-motion problem quantities are examined in detail. Upona hyperelastic constitutive assumption a finite-element approximation is derived and the material–force method, which is especially suitedfor defect-mechanics problems, is successfully applied to the present micromorphic continuum theory.

U2 - 10.1016/j.cma.2007.02.015

DO - 10.1016/j.cma.2007.02.015

M3 - Article

SN - 0045-7825

VL - 196

SP - 4027

EP - 4044

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 41-44

ER -

On deformational and configurational mechanics of micromorphic hyperelasticity - theory and computation

Abstract

Access to Document

Fingerprint

Cite this