A review of implicit constitutive theories to describe the response of elastic bodies

R Bustamante, K Rajagopal - Constitutive modelling of solid continua, 2020 - Springer
Implicit constitutive relations are discussed for elastic, electro-and magneto-elastic and
thermo-elastic bodies. Approximations of implicit constitutive equations for electro-elastic …

Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid

K Gou, SM Mallikarjunaiah - Communications in Nonlinear Science and …, 2023 - Elsevier
Recent interest in develo** new constitutive models for the behavior of elastic materials
has led to a new nonlinear theory of elasticity, wherein the linearized strain bears a …

[PDF][PDF] Viscoelasticity with limiting strain

Y Sengul - Discrete and Continuous Dynamical Systems-Series S, 2021 - orca.cardiff.ac.uk
This is an Open Access document downloaded from ORCA, Cardiff University's institutional
repository: https://orca.cardiff.ac.uk/ Page 1 This is an Open Access document downloaded …

The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies

V Kulvait, J Málek, KR Rajagopal - Journal of Elasticity, 2019 - Springer
In this paper we study the deformation of a body with a notch subject to an anti-plane state of
stress within the context of a new class of elastic models. These models stem as …

Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory

Y Şengül - Research in Mathematics of Materials Science, 2022 - Springer
In this work global-in-time existence of solutions for the initial-value problem based on a
model explaining nonlinear response of one-dimensional viscoelastic solids exhibiting …

Sample shapes for reliable parameter identification in elasto-plasticity

AV Shutov, AA Kaygorodtseva - Acta Mechanica, 2020 - Springer
Phenomenological constitutive equations contain material parameters which cannot be
measured directly in the experiment. We address the problem of error-resistant parameter …

Methodologies for constitutive model parameter identification for strain locking materials

N Payne, K Pochiraju - Mechanics of Materials, 2019 - Elsevier
Strain locking materials exhibit a pronounced stiffening above an apparent critical strain. In
practice, both natural materials, such as biological tissues, and human-made composites …

[LIBRO][B] Design, Behavior Modeling, and Fracture Characterization of Strain Locking Materials

N Payne - 2021 - search.proquest.com
Strain locking materials are those which progressively stiffen until reaching a point of
inextensibility along one or more directions. The stiffening behavior is due to relatively stiff …

Propagación de onda pequeña en un medio no lineal modelado con una nueva ecuación constitutiva

RS Ibarra Cáceres - 2020 - repositorio.uchile.cl
En los últimos años se han propuesto nuevas relaciones constitutivas implícitas para
modelar el comportamiento de los cuerpos elásticos. Como subclase de estas relaciones …

[PDF][PDF] On the behaviour of spherical inclusions in a cylinder under tension loads Estudio del comportamiento de inclusiones esféricas en un cilindro

S Montero, R Bustamante, A Ortiz-Bernardin - academia.edu
Resumen In the present paper the behaviour of a hyperelastic body is studied, considering
the presence of one, two and more spherical inclusions, under the effect of an external …