Constitutive Modeling Framework for Residually Stressed Viscoelastic Solids at Finite Strains

Jha, N. K. and Reinoso, J. and Dehghani, Hamidreza and Merodio Gómez, José (2019). Constitutive Modeling Framework for Residually Stressed Viscoelastic Solids at Finite Strains. "Mechanics Research Communications", v. 95 ; pp. 79-84. ISSN 0093-6413. https://doi.org/10.1016/j.mechrescom.2019.01.003.

Description

Title: Constitutive Modeling Framework for Residually Stressed Viscoelastic Solids at Finite Strains
Author/s:
  • Jha, N. K.
  • Reinoso, J.
  • Dehghani, Hamidreza
  • Merodio Gómez, José
Item Type: Article
Título de Revista/Publicación: Mechanics Research Communications
Date: 9 January 2019
ISSN: 0093-6413
Volume: 95
Subjects:
Freetext Keywords: Finite Viscoelasticity, Torsional Instability, Residual Stress
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This article presents a novel three-dimensional constitutive modeling framework for residually stressed viscoelastic solids undergoing finite strains. Within the current of phenomenological approach, the constitutive relations are derived for a viscoelastic matrix whereas residual stresses are considered in the constitutive law in terms of a set of invariants. In particular, we analyze the bifurcation of a residually stressed viscoelastic solids using the finite element method (FEM). In-plane residual stresses are introduced in the constitutive relation that satisfy the balance of momentum. The implementation is discussed with regard to commercial finite element code Abaqus. Furthermore, the robustness of the proposed user material is illustrated emphasizing the dependence of bifurcation and viscoelastic parameters of tubes under torsion upon the residual stresses. The proposed formulation is also suitable for cord-rubber composite application like tires, airsprings, and soft tissues in biomechanics, among others, being such applications particular extensions to anisotropic materials.

More information

Item ID: 55047
DC Identifier: http://oa.upm.es/55047/
OAI Identifier: oai:oa.upm.es:55047
DOI: 10.1016/j.mechrescom.2019.01.003
Official URL: https://www.sciencedirect.com/science/article/pii/S009364131830541X
Deposited by: Memoria Investigacion
Deposited on: 16 May 2019 16:36
Last Modified: 16 May 2019 16:36
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