000			02324nam a22002177a 4500
003			OSt
005			20220929114959.0
008			220929b |||||||| |||| 00| 0 eng d
020			_a9780521617239
040			_cICTS
082			_aQA808.2
100			_aTemam, Roger; Miranville, Alain
245			_aMathematical modeling in continuum mechanics
250			_a2nd ed.
260			_aCambridge (England) _bCambridge University Press _c2005
300			_axii, 342 pp.
505			_aPART I- FUNDAMENTAL CONCEPTS IN CONTINUUM MECHANICS; 1 Describing the motion of a system: geometry and kinematics; 2 The fundamental law of dynamics; 3 The Cauchy stress tensor and the Piola-Kirchhoff tensor. Applications; 4 Real and virtual powers; 5 Deformation tensor, deformation rate tensor, constitutive laws; 6 Energy equations and shock equations; PART II-PHYSICS OF FLUIDS; 7 General properties of Newtonian fluids; 8 Flows of inviscid fluids; 9 Viscous fluids and thermohydraulics; 10 Magnetohydrodynamics and inertial confinement of plasmas; 11 Combustion; 12 Equations of the atmosphere and of the ocean; PART III-SOLID MECHANICS; 13 The general equations of linear elasticity; 14 Classical problems of elastostatics; 15 Energy theorems, duality, and variational formulations; 16 Introduction to nonlinear constitutive laws and to homogenization; 17 Nonlinear elasticity and an application to biomechanics; PART IV-INTRODUCTION TO WAVE PHENOMENA; 18 Linear wave equations in mechanics; 19 The soliton equation: the Korteweg-de Vries equation; 20 The nonlinear Schrodinger equation
520			_a"Temam and Miranville present core topics within the general themes of fluid and solid mechanics. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics."--Jacket
650			_aMathematics: Analytic Mechanics
942			_2lcc _cBK
999			_c3202 _d3202