Non-Euclidean Models of Elastoplastic Materials with Structure Defects. Transition from Euclidean Model of Elastic Continuous Medium to Non-Euclidean Model of Continuous Medium

Non-Euclidean Models of Elastoplastic Materials with Structure Defects. Transition from Euclidean Model of Elastic Continuous Medium to Non-Euclidean Model of Continuous Medium

Mikhail Guzev

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-3-8433-7391-3
Объём: 128 страниц
Масса: 215 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

"If the world is meaningless that prevents invent any sense?"-Lewis Carroll “Alice's Adventures in Wonderland”. About 50 years ago importance to apply differential geometry for extending the elastic continuous medium model was recognized by researchers. The introduced affine-metric objects characterize the internal geometric structure of the continuous media and its difference from the Euclidean geometry. The affine- metric objects are the internal variables, and they can't be measured directly. This book shows how to establish the relation between the non-Euclidean geometric parameters of description and experimentally measured characteristics. It is demonstrated on the basis of the non-equilibrium thermodynamics formalism that to determine the affine-metric characteristics it is experimentally sufficient to measure two independent functions: internal energy and dissipation function. The proposed approach allows us to construct a thermomechanical model of a continuous medium including a full set of non-Euclidean characteristics which corresponds, from the physical point of view, to the description of dislocations, disclinations and point defects.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.