A new thermodynamical framework for finite strain multiplicative elastoplasticity coupled to anisotropic damage
2015 (English)In: International journal of plasticity, ISSN 0749-6419, Vol. 70, 126-150 p.Article in journal (Refereed) Published
The thermodynamical framework of an elastoplastic model coupled to anisotropic damage is presented in this paper. In the finite strain context, the proposed model is based on the multiplicative decomposition of the strain gradient into elastic and plastic parts. The anisotropic degradation is introduced by means of a second order tensor and another intermediate configuration is introduced by fictitiously removing this degradation from the plastic intermediate configuration. To enhance the physical meaning of the Mandel-like stress measure work conjugated to the inelastic flow stated in this fictitious configuration, i.e. the "effective stress", a new damage rate tensor is defined with its associated push-forward and pull-back operations. The emphasis in this paper is placed on the description of the interesting properties of the novel definitions of the push-forward and pull-back operations which are discussed through a thermodynamical framework. Furthermore, a specific constitutive model with the plastic and damage flow rules deduced from the restrictions imposed by the second law of thermodynamics is discussed with an application on an asphalt concrete material where the anisotropic evolution of the damage is highlighted.
Place, publisher, year, edition, pages
2015. Vol. 70, 126-150 p.
B. Anisotropic material, B. Elastic-plastic material, B. Finite strain, Thermodynamics, Anisotropy, Plastic parts, Tensors, Anisotropic material, Elastic-plastic Material, Finite strain, Intermediate configuration, Multiplicative decomposition, Multiplicative elastoplasticity, Second Law of Thermodynamics, Specific constitutive model, Elastoplasticity
IdentifiersURN: urn:nbn:se:kth:diva-167696DOI: 10.1016/j.ijplas.2015.03.006ISI: 000356110000006ScopusID: 2-s2.0-84927630424OAI: oai:DiVA.org:kth-167696DiVA: diva2:816048
FunderSwedish Research Council, C0372001
QC 201506022015-06-022015-05-222015-07-06Bibliographically approved