In this work, we consider a nonlinear strain-limiting elastic model in heterogeneous domains. We investigate heterogeneous material with soft and stiff inclusions and …
We formulate a nonlocal cohesive model for calculating the deformation inside a cracking body. In this model a set of physical properties including elastic and softening behavior are …
The main purpose of this study is to investigate the efficacy and usefulness of a class of recently proposed models that could be reasonable candidates for describing the response …
The antiplane problem of an infinite isotropic elastic medium subjected to a far-field load and containing a zero thickness layer of arbitrary shape described by the Gurtin-Murdoch model …
The main purpose of this study is to establish the existence of a weak solution to the anti- plane stress problem on V-notch domains for a class of recently proposed new models that …
T Sendova, JR Walton - Mathematics and Mechanics of …, 2010 - journals.sagepub.com
In this paper we focus on the analysis of the partial differential equations arising from a new approach to modeling brittle fracture based on an extension of continuum mechanics to the …
AY Zemlyanova - Mathematics and Mechanics of Solids, 2018 - journals.sagepub.com
In this paper, the surface elasticity in the form proposed by Steigmann and Ogden is applied to study a plane problem of frictionless contact of a rigid stamp with an elastic upper semi …
AY Zemlyanova - The Quarterly Journal of Mechanics and …, 2017 - academic.oup.com
A problem of a straight mixed mode non-interface fracture in an infinite plane is treated analytically with the help of complex analysis techniques. The surfaces of the fracture are …
LA Ferguson, M Muddamallappa, JR Walton - International Journal of …, 2015 - Springer
Continuum surface methods, including the Sendova–Walton theory, offer a novel approach to fracture modeling in which boundary mechanics are used to augment the classical linear …