Accretion–ablation mechanics

SP Pradhan, A Yavari - Philosophical Transactions of the …, 2023 - royalsocietypublishing.org
In this paper, we formulate a geometric nonlinear theory of the mechanics of accreting–
ablating bodies. This is a generalization of the theory of accretion mechanics of Sozio & …

Finite extension of accreting nonlinear elastic solid circular cylinders

A Yavari, Y Safa, A Soleiman Fallah - Continuum Mechanics and …, 2024 - Springer
In this paper we formulate and solve the initial-boundary value problem of accreting circular
cylindrical bars under finite extension. We assume that the bar grows by printing stress-free …

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 …

Controllable deformations in compressible isotropic implicit elasticity

A Yavari, A Goriely - Zeitschrift für angewandte Mathematik und Physik, 2024 - Springer
For a given material, controllable deformations are those deformations that can be
maintained in the absence of body forces and by applying only boundary tractions. For a …

Universal Displacements in Anisotropic Linear Cauchy Elasticity

A Yavari, D Sfyris - arXiv preprint arXiv:2404.10529, 2024 - arxiv.org
Universal displacements are those displacements that can be maintained for any member of
a specific class of linear elastic materials in the absence of body forces, solely by applying …

Nonlinear mechanics of phase-change-induced accretion

SP Pradhan, A Yavari - arXiv preprint arXiv:2404.13121, 2024 - arxiv.org
In this paper, we formulate a continuum theory of solidification within the context of finite-
strain coupled thermoelasticity. We aim to fill a gap in the existing literature, as the existing …