On the direct and reverse multiplicative decompositions of deformation gradient in nonlinear anisotropic anelasticity

A Yavari, F Sozio - Journal of the Mechanics and Physics of Solids, 2023 - Elsevier
In this paper we discuss nonlinear anisotropic anelasticity formulated based on the two
multiplicative decompositions F= F e F a and F= F a F e. Using the Bilby–Kröner–Lee …

Efficient GPU-accelerated thermomechanical solver for residual stress prediction in additive manufacturing

S Liao, A Golgoon, M Mozaffar, J Cao - Computational Mechanics, 2023 - Springer
This paper addresses the need of rapid thermomechanical simulation of metal additive
manufacturing by presenting a fully vectorized implementation of predicting the …

Scattering of SH waves by elliptical cavity and type-III crack in deep anisotropic geology

Z Yang, D Guo, J Bian, Y Yang - Soil Dynamics and Earthquake …, 2024 - Elsevier
Most of the underground rock formations are anisotropic, and the study of the dynamic
response of anisotropic geology containing internal defects is necessary for the …

Universal deformations and inhomogeneities in isotropic Cauchy elasticity

A Yavari - Proceedings A, 2024 - royalsocietypublishing.org
For a given class of materials, universal deformations are those deformations that can be
maintained in the absence of body forces and by applying solely boundary tractions. For …

Universal deformations in anisotropic nonlinear elastic solids

A Yavari, A Goriely - Journal of the Mechanics and Physics of Solids, 2021 - Elsevier
Universal deformations of an elastic solid are deformations that can be achieved for all
possible strain–energy density functions and suitable boundary conditions. They play a …

Nonlinear mechanics of remodeling

A Kumar, A Yavari - Journal of the Mechanics and Physics of Solids, 2023 - Elsevier
In this paper, we present a large-deformation formulation of the mechanics of remodeling.
Remodeling is anelasticity with an internal constraint—material evolutions that are mass and …

Drained solution for elastoplastic stress of compressible matrix around a growing poroelastic inhomogeneity inclusion

Y Wu, A Mehrabian, SL Chen… - Journal of Engineering …, 2024 - ascelibrary.org
An analytical solution is presented for spherically symmetric growth of a fluid-saturated,
poroelastic inhomogeneity inclusion embedded within a compressible elastoplastic matrix. A …

Dynamic response of semi-cylindrical depression, cylindrical cavity and type-III crack to SH wave in half-space anisotropic media

D Guo, Z Yang, J Bian, Y Song, Y Yang - Engineering Analysis with …, 2024 - Elsevier
In this study, the anti-plane dynamic response of an elastic half-space anisotropic medium
containing surface semi-cylindrical depressions and internal cylindrical cavity and type-III …

The anelastic Ericksen problem: Universal deformations and universal eigenstrains in incompressible nonlinear anelasticity

C Goodbrake, A Yavari, A Goriely - Journal of Elasticity, 2020 - Springer
Ericksen's problem consists of determining all equilibrium deformations that can be
sustained solely by the application of boundary tractions for an arbitrary incompressible …

Strain hardening from elastic–perfectly plastic to perfectly elastic flattening single asperity contact

H Ghaednia, MRW Brake… - Journal of …, 2019 - asmedigitalcollection.asme.org
For elastic contact, an exact analytical solution for the stresses and strains within two
contacting bodies has been known since the 1880s. Despite this, there is no similar solution …