. "\u010Cl\u00E1nek pod\u00E1v\u00E1 stru\u010Dn\u00FD p\u0159ehled z\u00E1kladn\u00EDch pojm\u016F a rovnic, kter\u00E9 jsou vyu\u017E\u00EDv\u00E1ny v dal\u0161\u00EDch \u010Dl\u00E1nc\u00EDch zvl\u00E1\u0161tn\u00EDho \u010D\u00EDsla o po\u0161kozen\u00ED a lomu geomateri\u00E1l\u016F. Prvn\u00ED odd\u00EDl zav\u00E1d\u00ED tenzorov\u00E9 zna\u010Den\u00ED, definuje z\u00E1kladn\u00ED tenzorov\u00E9 operace a p\u0159edstavuje formalismus pro volumetricko-deviatorick\u00FD rozklad nap\u011Bt\u00ED a deformace. Druh\u00FD odd\u00EDl ukazuje, jak p\u0159epsat vztahy z tenzorov\u00E9ho z\u00E1pisu do in\u017Een\u00FDrsk\u00E9ho. Z\u00E1kladn\u00ED rovnice popisuj\u00EDc\u00ED line\u00E1rn\u011B pru\u017En\u00E9 t\u011Bleso jsou shrnuty ve t\u0159et\u00EDm odd\u00EDlu a jejich diskretizace metodou kone\u010Dn\u00FDch prvk\u016F je pops\u00E1na ve \u010Dtvrt\u00E9m odd\u00EDlu, s roz\u0161\u00ED\u0159en\u00EDm na neline\u00E1rn\u00ED konstitutivn\u00ED vztahy v p\u00E1t\u00E9m odd\u00EDlu. Posledn\u00ED odd\u00EDl popisuje termodynamick\u00FD r\u00E1mec zalo\u017Een\u00FD na dvou potenci\u00E1lech - voln\u00E9 energii a disipa\u010Dn\u00EDm potenci\u00E1lu."@cs . "[1A33F0C4D0AC]" . "Z(MSM6840770003)" . "7-8" . "This paper provides a brief overview of the basic concepts and equations that will be used by other papers in the special issue on Damage and Fracture in Geomaterials. The first section introduces the tensorial notation, defines the basic tensor operations and presents the formalism for the volumetric-deviatoric decomposition of stress and strain. The second section shows how to transcribe tensorial relations in the engineering notation. The basic equations describing a linear elastic deformable body are summarized in the third section, and their discretization by the finite element method is described in the fourth section, with an extension to nonlinear constitutive relations in the fifth section. The last section outlines a thermodynamic framework based on two potentials---the free energy and the dissipation potential." . . "1"^^ . "14"^^ . . "21110" . "Revue Europ\u00E9enne de G\u00E9nie Civil" . . "RIV/68407700:21110/07:01134647!RIV08-MSM-21110___" . "Basic Concepts and Equations of Solid Mechanics" . . "RIV/68407700:21110/07:01134647" . "1"^^ . "Basic Concepts and Equations of Solid Mechanics"@en . . . . "411400" . . "11" . "879;892" . "Z\u00E1kladn\u00ED pojmy a rovnice mechaniky pevn\u00FDch t\u011Bles"@cs . . "elasticity; finite element method; tensor; thermodynamics"@en . "This paper provides a brief overview of the basic concepts and equations that will be used by other papers in the special issue on Damage and Fracture in Geomaterials. The first section introduces the tensorial notation, defines the basic tensor operations and presents the formalism for the volumetric-deviatoric decomposition of stress and strain. The second section shows how to transcribe tensorial relations in the engineering notation. The basic equations describing a linear elastic deformable body are summarized in the third section, and their discretization by the finite element method is described in the fourth section, with an extension to nonlinear constitutive relations in the fifth section. The last section outlines a thermodynamic framework based on two potentials---the free energy and the dissipation potential."@en . "Basic Concepts and Equations of Solid Mechanics"@en . . . . . "FR - Francouzsk\u00E1 republika" . . . "Z\u00E1kladn\u00ED pojmy a rovnice mechaniky pevn\u00FDch t\u011Bles"@cs . "Basic Concepts and Equations of Solid Mechanics" . "1774-7120" . "Jir\u00E1sek, Milan" .