☆ 4.4 Article

Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters

MATHEMATICS AND MECHANICS OF SOLIDS (2022)

Related references

Note: Only part of the references are listed.

Article Mechanics

Implicit nonlinear elastic bodies with density dependent material moduli and its linearization

Kumbakonam R. Rajagopal et al.

Summary: The study presents an implicit constitutive relation to describe the response of a compressible elastic solid, capturing characteristics of rubber-like elastic solids. It also shows that normal stress components can influence shearing motion at second order in a nonlinear implicit model, which is a novel finding compared to classical nonlinear Cauchy elasticity theory. The linearization of the constitutive relation reveals that material moduli can depend on the trace of the linearized strain and density, a feature not possible in the context of traditional constitutive relation models.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2022)

Add to Collection

Article Engineering, Mechanical

Asymptotic beam theory for non-classical elastic materials

Diandian Gu et al.

Summary: This paper focuses on studying the plane-stress deformation of a beam made of non-classical elastic materials suitable for modeling inter-metallic alloys with a nonlinear constitutive relation. It aims to derive a consistent asymptotic beam theory and uses an analytical iteration procedure to obtain analytical solutions. Validation of the approximate analytical solution is done through numerical simulations, confirming the validity and showing that the Euler-Bernoulli type of hypotheses is not suitable for certain problems.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2021)

Add to Collection

Article Engineering, Multidisciplinary

Buckling of an elastic layer based on implicit constitution: Incremental theory and numerical framework

Diandian Gu et al.

Summary: The study focused on the buckling of solids described by implicit constitutive relation, using general linear incremental theory and bifurcation analysis. By combining Asymptotic Numerical Method (ANM) and spectral collocation method to solve the resulting nonlinear equations, the numerical framework was validated and effects on buckling and post-buckling behavior were explored.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2021)

Add to Collection

Article Materials Science, Multidisciplinary

A note on viscoelastic bodies whose material properties depend on the density

K. R. Rajagopal et al.

Summary: The note discusses the response of a viscoelastic body with stress relaxation modulus and creep compliance depending on body density, resulting in linear stress and strain in the constitutive equation. Such models are useful for studying porous viscoelastic bodies undergoing small deformations where moduli vary with porosity and density. The tension-torsion problem of cylinders with arbitrary cross-section is specifically examined within this constitutive relation.

MATHEMATICS AND MECHANICS OF SOLIDS (2021)

Add to Collection

Article Materials Science, Multidisciplinary

An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density

K. R. Rajagopal

Summary: In this note, a constitutive relation linear in both the Cauchy stress and linearized strain is developed by linearizing implicit constitutive relations between stress and deformation gradient. The developed constitutive relations include classic linearized elastic constitutive approximation and some classes implying limiting strain in tension, as special subclasses, with material moduli dependent on density. This allows for the description of responses in porous materials undergoing small deformations, such as porous metals, bone, rocks, and concrete.

MATHEMATICS AND MECHANICS OF SOLIDS (2021)

Add to Collection

Review Multidisciplinary Sciences

Nonlinear viscoelasticity of strain rate type: an overview

Yasemin Sengul

Summary: This article focuses on the modelling of the nonlinear response of a class of viscoelastic solids, particularly considering nonlinear viscoelasticity of strain rate type. It introduces basic terminology, preliminaries, and the most general model of interest, discussing the long-term behavior of solutions and presenting some applications.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2021)

Add to Collection

Article Mechanics

Gibbs free energy based representation formula within the context of implicit constitutive relations for elastic solids

Vit Prusa et al.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2020)

Add to Collection

Article Mechanics

A note on the linearization of the constitutive relations of non-linear elastic bodies

K. R. Rajagopal

MECHANICS RESEARCH COMMUNICATIONS (2018)

Add to Collection

Article Polymer Science

DETERMINING MATERIAL PROPERTIES OF NATURAL RUBBER USING FEWER MATERIAL MODULI IN VIRTUE OFA NOVEL CONSTITUTIVE APPROACH FOR ELASTIC BODIES

A. Muliana et al.

RUBBER CHEMISTRY AND TECHNOLOGY (2018)

Add to Collection

Review Materials Science, Multidisciplinary

Carbon aerogel evolution: Allotrope, graphene-inspired, and 3D-printed aerogels

Swetha Chandrasekaran et al.

JOURNAL OF MATERIALS RESEARCH (2017)

Add to Collection

Article Mathematics, Applied

Representations for implicit constitutive relations describing non-dissipative response of isotropic materials

C. Gokulnath et al.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2017)

Add to Collection

Article Materials Science, Multidisciplinary

On the anti-plane state of stress near pointed or sharply radiused notches in strain limiting elastic materials: closed form solution and implications for fracture assessements

M. Zappalorto et al.

INTERNATIONAL JOURNAL OF FRACTURE (2016)

Add to Collection

Article Mechanics

On a class of Gibbs potential-based nonlinear elastic models with small strains

A. R. Srinivasa

ACTA MECHANICA (2015)

Add to Collection

Article Construction & Building Technology

Influence of the volume fraction and the nature of fine lightweight aggregates on the thermal and mechanical properties of structural concrete

L. H. Nguyen et al.

CONSTRUCTION AND BUILDING MATERIALS (2014)

Add to Collection

Article Mathematics

On elastic solids with limiting small strain: modelling and analysis

Miroslav Bulicek et al.

EMS SURVEYS IN MATHEMATICAL SCIENCES (2014)

Add to Collection

Article Materials Science, Multidisciplinary

Anti-plane stress state of a plate with a V-notch for a new class of elastic solids

Vojtech Kulvait et al.

INTERNATIONAL JOURNAL OF FRACTURE (2013)

Add to Collection

Article Mathematics, Applied

ON KELVIN-VOIGT MODEL AND ITS GENERALIZATIONS

Miroslav Bulicek et al.

EVOLUTION EQUATIONS AND CONTROL THEORY (2012)

Add to Collection

Article Materials Science, Multidisciplinary

Non-Linear Elastic Bodies Exhibiting Limiting Small Strain

K. R. Rajagopal

MATHEMATICS AND MECHANICS OF SOLIDS (2011)

Add to Collection

Article Mechanics

A note on a reappraisal and generalization of the Kelvin-Voigt model

K. R. Rajagopal

MECHANICS RESEARCH COMMUNICATIONS (2009)

Add to Collection

Article Chemistry, Multidisciplinary

Nanoengineering strong silica aerogels

N Leventis et al.

NANO LETTERS (2002)

Add to Collection

© Peeref 2019-2024. All rights reserved.