000			01760 a2200229 4500
005			20190617122032.0
008			190611b xxu||||| |||| 00| 0 eng d
020			_a9783030020644
040			_cIIT Kanpur
041			_aeng
082			_a531.01 _bK948m
100			_aKruzík, Martin
245			_aMathematical methods in continuum mechanics of solids _cMartin Kruzík and Tomas Roubicek
260			_bSpringer _c2019 _aSwitzerland
300			_axiii, 617p
440			_aInteraction of mechanics and mathematics
490			_a / edited by Lev Truskinovsky
520			_aThis book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
650			_aContinuum mechanics -- Mathematics
700			_aRoubicek, Tomas
942			_cBK
999			_c560329 _d560329