书目名称 | Mathematical Methods in Continuum Mechanics of Solids | 编辑 | Martin Kružík,Tomáš Roubíček | 视频video | | 概述 | Serves as an advanced textbook for graduate students, as well as a monograph for theoretically oriented researchers.Merges rational continuum mechanics with mathematical analysis. Focuses on rigorous | 丛书名称 | Interaction of Mechanics and Mathematics | 图书封面 |  | 描述 | .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.. . | 出版日期 | Textbook 2019 | 关键词 | Continuum Mechanics of Solids; Mathematical Methods in Continuum Mechanics of Solids; Thermodynamics; C | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-02065-1 | isbn_softcover | 978-3-030-02064-4 | isbn_ebook | 978-3-030-02065-1Series ISSN 1860-6245 Series E-ISSN 1860-6253 | issn_series | 1860-6245 | copyright | Springer Nature Switzerland AG 2019 |
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