Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity

Author:

Erbay H.A.,Erkip A.,Şengül Y.

Funder

Scientific and Technological Research Council of Turkey

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference26 articles.

1. One-dimensional model describing the non-linear viscoelastic response of materials;Bárta;Comment. Math. Univ. Carol.,2014

2. On Kelvin-Voigt model and its generalizations;Bulíček;Evol. Equ. Control Theory,2012

3. On elastic solids with limiting small strain: modelling and analysis;Bulíček;EMS Surv. Math. Sci.,2014

4. Some topics on a new class of elastic bodies;Bustamante;Proc. R. Soc. A,2009

5. Solutions of some simple boundary value problems within the context of a new class of elastic materials;Bustamante;Int. J. Non-Linear Mech.,2011

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1. Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-11-06

2. Stress-rate-type strain-limiting models for solids resulting from implicit constitutive theory;Advances in Continuous and Discrete Models;2023-01-20

3. On an elastic strain-limiting special Cosserat rod model;Mathematical Models and Methods in Applied Sciences;2023-01

4. Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data;SIAM Journal on Mathematical Analysis;2022-11-21

5. Global Existence of Solutions for the One-Dimensional Response of Viscoelastic Solids Within the Context of Strain-Limiting Theory;Association for Women in Mathematics Series;2022

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