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 & …
ablating bodies. This is a generalization of the theory of accretion mechanics of Sozio & …
Finite extension of accreting nonlinear elastic solid circular cylinders
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 …
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 …
maintained in the absence of body forces and by applying solely boundary tractions. For …
Controllable deformations in compressible isotropic implicit elasticity
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 …
maintained in the absence of body forces and by applying only boundary tractions. For a …
Universal Displacements in Anisotropic Linear Cauchy Elasticity
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 …
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 …
strain coupled thermoelasticity. We aim to fill a gap in the existing literature, as the existing …