Central Library

Normal view MARC view ISBD view

Mathematical Methods in Continuum Mechanics of Solids [electronic resource] / by Martin Kružík, Tomáš Roubíček.

By: Kružík, Martin [author.].
Contributor(s): Roubíček, Tomáš [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Interaction of Mechanics and Mathematics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XIII, 617 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030020651.Subject(s): Mechanics, Applied | Solids | Mathematical physics | Thermodynamics | Heat engineering | Heat transfer | Mass transfer | Multibody systems | Vibration | Solid Mechanics | Mathematical Physics | Engineering Thermodynamics, Heat and Mass Transfer | Multibody Systems and Mechanical VibrationsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 620.105 Online resources: Click here to access online
Contents:
Static Problems -- Description of Deformable Stressed Bodies -- Elastic Materials -- Polyconvex Materials: Existence Of Energy-Minimizing Deformations -- General Hyperelastic Materials: Existence/Nonexistence Results -- Linearized Elasticity -- Evolution Problems -- Linear Rheological Models at Small Strains -- Nonlinear Materials with Internal Variables at Small Strains -- Thermodynamics of Selected Materials and Processes -- Evolution at finite Strains.
In: Springer Nature eBookSummary: 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, 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.
    average rating: 0.0 (0 votes)
No physical items for this record

Static Problems -- Description of Deformable Stressed Bodies -- Elastic Materials -- Polyconvex Materials: Existence Of Energy-Minimizing Deformations -- General Hyperelastic Materials: Existence/Nonexistence Results -- Linearized Elasticity -- Evolution Problems -- Linear Rheological Models at Small Strains -- Nonlinear Materials with Internal Variables at Small Strains -- Thermodynamics of Selected Materials and Processes -- Evolution at finite Strains.

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, 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.

There are no comments for this item.

Log in to your account to post a comment.