Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states

W Chen, YP Zhao - International Journal of Engineering Science, 2022 - Elsevier
It is a long-standing challenge to predict the thermo-mechanically coupled behaviors of
initially stressed soft elastomers since most of the existing theories ignore the influences of …

[HTML][HTML] Mesoscale modeling of deformations and defects in thin crystalline sheets

L Benoit–Maréchal, I Nitschke, A Voigt… - Mechanics of Materials, 2024 - Elsevier
We present a mesoscale description of deformations and defects in thin, flexible sheets with
crystalline order, tackling the interplay between in-plane elasticity, out-of-plane deformation …

[HTML][HTML] The multiplicative deformation split for shells with application to growth, chemical swelling, thermoelasticity, viscoelasticity and elastoplasticity

RA Sauer, R Ghaffari, A Gupta - International Journal of Solids and …, 2019 - Elsevier
This work presents a general unified theory for coupled nonlinear elastic and inelastic
deformations of curved thin shells. The coupling is based on a multiplicative decomposition …

Interaction of a defect with the reference curvature of an elastic surface

M Singh, A Pandey, A Gupta - Soft Matter, 2022 - pubs.rsc.org
The morphological response of two-dimensional curved elastic sheets to an isolated defect
(dislocation/disclination) is investigated within the framework of Föppl–von Kármán shallow …

Equilibrium of nonlinearly elastic shells of rotation with isolated disclination

LM Zubov, MI Karyakin - ZAMM‐Journal of Applied …, 2024 - Wiley Online Library
The problem of large strains of shells of revolution containing disclinations is studied based
on the 6‐parameter nonlinear theory of elastic shells known as the Cosserat model. The …

Defects and metric anomalies in Föppl–von Kármán surfaces

M Singh, A Roychowdhury… - Proceedings of the …, 2022 - royalsocietypublishing.org
A general framework is developed to study the deformation and stress response in Föppl–
von Kármán shallow shells for a given distribution of defects, such as dislocations …

Mesoscale modeling of deformations and defects in crystalline sheets

I Nitschke, A Voigt, M Salvalaglio - arXiv preprint arXiv:2309.11371, 2023 - arxiv.org
We study deformation and defects in thin, flexible sheets with crystalline order using a
coarse-grained Phase-Field Crystal (PFC) model. The PFC model describes crystals at …

Growth and non-metricity in Föppl-von Kármán shells

A Roychowdhury, A Gupta - Journal of Elasticity, 2020 - Springer
The non-homogeneous Föppl-von Kármán equations for growing thin elastic shallow shells
are revisited by deriving the inhomogeneity source terms directly from the non-metricity …

Isolated disclination in an orthotropic von Kármán elastic plate

S Paul, A Gupta - Mechanics of Materials, 2024 - Elsevier
We investigate geometry and mechanics of the buckled orthotropic von Kármán elastic plate,
with free boundary condition, in the presence of an isolated positive, or negative …

Large Strains of a Spherical Shell with Distributed Dislocations and Disclinations

LM Zubov, MI Karyakin - Sixty Shades of Generalized Continua: Dedicated …, 2023 - Springer
A theory of nonlinear deformation of the elastic Cosserat shells with continuously distributed
dislocations and disclinations is formulated. Displacements, rotations, and strains are …