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Nanoscience and Technology: An International Journal
ESCI SJR: 1.031 SNIP: 1.517 CiteScore™: 0.7

ISSN Print: 2572-4258
ISSN Online: 2572-4266

Nanoscience and Technology: An International Journal

Formerly Known as Nanomechanics Science and Technology: An International Journal

DOI: 10.1615/NanomechanicsSciTechnolIntJ.v6.i2.40
pages 135-160

MODEL OF ANISOTROPIC ELASTOPLASTICITY IN FINITE DEFORMATIONS ALLOWING FOR THE EVOLUTION OF THE SYMMETRY GROUP

Massimo Cuomo
Department of Civil Engineering and Architecture, University of Catania, Italy
Mario Fagone
Department of Civil and Environmental Engineering, University of Firenze, Italy

ABSTRACT

A constitutive model for finite deformation anisotropic elastoplasticity, developed within the framework of the multiplicative decomposition of the deformation gradient and of the theory of the structural tensors is discussed. The main goal of the paper is to analyze the extension of finite deformation plasticity to the case that material directions can evolve due to mechanical actions. This is obtained by considering the structural tensors as internal variables and introducing thermodynamic forces conjugated to them. The internal energy is assumed to depend on the elastic strain tensor and on the structural tensors, so that, employing Clausius−Duhem dissipation inequality, evolution equations for plastic deformation and for irreversible changes in the structural tensors are obtained that can consist of rotation of the material direction or also of the modification of the norm of the material directors. Examples show that the model can be used for studying the response of fiber materials like soft tissues, amorphous polymers, etc.


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