WorldCat Linked Data Explorer

Turtle N-Triple JSON-LD RDF/XML HTML Contact Us Home

http://worldcat.org/entity/work/id/865599781

Continuum Mechanics Advanced Topics and Research Trends

This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Methods, and Applications is aimed at advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

Open All Close All

type

about

http://schema.org/about

author

contributor

creator

description

http://schema.org/description

  • "This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Methods, and Applications is aimed at advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics."@en
  • "This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors previous book, Continuum Mechanics using Mathematica, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields. Specific topics, which have been chosen to show the power of continuum mechanics to characterize the experimental behavior of real phenomena, include: * various aspects of nonlinear elasticity, including equilibrium equations and their variational formulation, nonlinear constitutive equations, existence and uniqueness theorems of Van Buren and Stoppelli, and Signorini's method with some extensions to live loads and acceleration waves * continua with directors * a model of a continuum with a nonmaterial moving interface * mixture theory: The Gibbs Rule in a binary mixture * interaction between electric or magnetic fields with matter * micromagnetism * continua in special relativity and relativistic interactions between matter and electromagnetic fields Appendices are included to provide background information on topics such as surface geometry, first-order PDEs, and weak solutions to models. Mathematica notebooks also accompanying the text are available for download at http://www.birkhauser.com/978-0-8176-4869-5. Aimed at advanced graduate students, applied mathematicians, mathematical physicists, and engineers, the work will be an excellent self-study reference or supplementary textbook in graduate-level courses focusing on advanced topics and research trends in continuum mechanics."@en
  • "This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors' previous book, Continuum Mechanics using Mathematica(R), this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields. Specific topics, which have been chosen to show the power of continuum mechanics to characterize the experimental behavior of real phenomena, include: * various aspects of nonlin."@en

genre

http://schema.org/genre

  • "Electronic books"
  • "Electronic books"@en

name

http://schema.org/name

  • "Continuum Mechanics Advanced Topics and Research Trends"
  • "Continuum Mechanics Advanced Topics and Research Trends"@en
  • "Continuum mechanics using Mathematica : fundamentals, methods, and applications"
  • "Continuum mechanics using Mathematica® : fundamentals, methods, and applications"
  • "Continuum mechanics using Mathematica® : fundamentals, methods, and applications"@en
  • "Continuum mechanics advanced topics and research trends"
  • "Continuum mechanics advanced topics and research trends"@en
  • "Continuum Mechanics"@en
  • "Continuum mechanics using Mathematica fundamentals, methods, and applications"
  • "Continuum Mechanics using Mathematica® Fundamentals, Methods, and Applications"
  • "Continuum mechanics : advanced topics and research trends"
  • "Continuum Mechanics : Advanced Topics and Research Trends"

workExample