{"product_id":"non-euclidean-models-of-elastoplastic-materials-with-structure-defects-von-mikhail-guzev","title":"Non-Euclidean Models of Elastoplastic Materials with Structure Defects","description":"\u003cp\u003e\"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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843373913\"\u003e\u003ch3\u003eTransition from Euclidean Model of Elastic Continuous Medium to Non-Euclidean Model of Continuous  Medium\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843373913","offer_id":39470070923357,"sku":"9783843373913","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/79fe4a72-5214-4946-bef6-c2f7bbd86712.jpg?v=1757913770","url":"https:\/\/shop.autorenwelt.de\/products\/non-euclidean-models-of-elastoplastic-materials-with-structure-defects-von-mikhail-guzev","provider":"Autorenwelt Shop","version":"1.0","type":"link"}