Continuum mechanics and elasticity theory form the backbone of modern investigations into material behaviour, providing a framework that combines geometric principles with differential equations to ...

Korn inequalities are central to the mathematical framework underpinning elasticity theory, providing essential bounds that relate the deformation of a material to the symmetrised gradient of its ...

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 239, No. 1219 (Apr. 9, 1957), pp. 557-576 (20 pages) The approximate two-dimensional theory of finite ...

Description: This course focuses on the mechanics of linear elastic solids. Topics covered include, but not limited to, (1) Formulation of the elastic problem for isotropic and anisotropic materials, ...

This is a preview. Log in through your library . Abstract We formulate elasticity theory with microrotations using the framework of gauge theories, which has been developed and successfully applied in ...

Y. Seol, J. Li, P. Nelson, T. T. Perkins, and M. D. Betterton (2007). Biophysical Journal93, 4360-4373. Download. This article was selected as a New and Notable paper by the Biophysical Journal. The ...

In a crystalline solid, the atoms form an ordered lattice. Crystalline solids respond elastically to small deformations: When the applied strain is removed, the macroscopic stress, as well as the ...

The objective of this course is to introduce graduate and senior undergraduate students to advanced topics in linear elasticity. Students will build on the knowledge gained through all mechanics ...