Dynamics of controlled release systems based on water-in-water emulsions: a general theory

LMC Sagis - Journal of controlled release, 2008 - Elsevier
Phase-separated biopolymer solutions, and aqueous dispersions of hydrogel beads,
liposomes, polymersomes, aqueous polymer microcapsules, and colloidosomes are all …

Generalized multiscale finite element treatment of a heterogeneous nonlinear strain-limiting elastic model

M Vasilyeva, SM Mallikarjunaiah - Multiscale Modeling & Simulation, 2024 - SIAM
In this work, we consider a nonlinear strain-limiting elastic model in heterogeneous
domains. We investigate heterogeneous material with soft and stiff inclusions and …

Cohesive dynamics and brittle fracture

R Lipton - Journal of Elasticity, 2016 - Springer
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 …

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

V Kulvait, J Málek, KR Rajagopal - International Journal of Fracture, 2013 - Springer
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 …

Analysis of the antiplane problem with an embedded zero thickness layer described by the Gurtin-Murdoch model

S Baranova, SG Mogilevskaya, V Mantič… - Journal of Elasticity, 2020 - Springer
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 …

Existence of solutions for the anti-plane stress for a new class of “strain-limiting” elastic bodies

M Bulíček, J Málek, KR Rajagopal… - Calculus of Variations and …, 2015 - Springer
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 …

A new approach to the modeling and analysis of fracture through extension of continuum mechanics to the nanoscale

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 …

Frictionless contact of a rigid stamp with a semi-plane in the presence of surface elasticity in the Steigmann–Ogden form

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 …

A straight mixed mode fracture with the Steigmann–Ogden boundary condition

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 …

Numerical simulation of mode-III fracture incorporating interfacial mechanics

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 …