4.3 Article

Energy Minimizing Configurations for Single-Director Cosserat Shells

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Engineering, Multidisciplinary

Existence of Weak Solutions for Non-Simple Elastic Surface Models

Timothy J. Healey

Summary: In this work, we focus on a class of models for nonlinearly elastic surfaces, specifically addressing thin, highly deformable structures modeled as two-dimensional nonlinearly elastic continua. By assuming a polyconvex stored-energy density with respect to the second gradient of deformation and requiring unbounded growth as the local area ratio approaches zero, we demonstrate that the latter can be uniformly bounded away from zero at an energy minimizer. Through the rigorous derivation of the weak form of the Euler-Lagrange equilibrium equations, we establish key properties of the model.

JOURNAL OF ELASTICITY (2022)

Article Engineering, Multidisciplinary

Polyconvexity and Existence Theorem for Nonlinearly Elastic Shells

Sylvia Anicic

JOURNAL OF ELASTICITY (2018)

Article Materials Science, Multidisciplinary

Stability boundaries for wrinkling in highly stretched elastic sheets

Qingdu Li et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2016)

Article Mathematics, Applied

Orientation-preserving condition and polyconvexity on a surface: Application to nonlinear shell theory

Philippe Ciarlet et al.

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2013)

Article Mechanics

Stretch-induced stress patterns and wrinkles in hyperelastic thin sheets

Vishal Nayyar et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2011)

Article Automation & Control Systems

INJECTIVE WEAK SOLUTIONS IN SECOND-GRADIENT NONLINEAR ELASTICITY

Timothy J. Healey et al.

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2009)

Article Mathematics, Applied

A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence

G Friesecke et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2006)