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Mathematical Methods in Continuum Mechanics of Solids
Hardcover
Series: Interaction of Mechanics and Mathematics
Technology & EngineeringGeneral MathematicsPhysics
ISBN13: 9783030300197
Publisher: Springer Nature
Published: Aug 9 2019
Pages: 617
Weight: 2.32
Height: 1.38 Width: 6.14 Depth: 9.21
Language: English
This 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.
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