rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Introduction to Nonlinear Thermomechanics of Solids
  name:
    name part: Kleiber, Michał.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Kowalczyk, Piotr.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 345 p. 69 illus. online resource.
  abstract: The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation of initial-boundary value problems and presenting weak (variational) formulations. In the final part the crucial issue of developing techniques for solving specific problems of thermomechanics is addressed. To this aim the authors present a discretized formulation of the governing equations, discuss the fundamentals of the finite element method and develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions.
  table of contents: 1. Introduction -- 1.1. General remarks on the book content -- 1.2. Nonlinear continuum thermomechanics as a field of research and its industrial applications -- 2. Fundamental concepts of mechanics -- 2.1. Statics of a bar -- 2.2. Trusses -- 2.3. Two-dimensional continuum generalization -- 3. Fundamentals of tensor algebra and analysis -- 3.1. Introduction -- 3.1.1. Euclidean space and coordinate systems -- 3.1.2. Scalars and vectors -- 3.1.3. Basis of vector space -- 3.2. Tensors -- 3.2.1. Definitions -- 3.2.2. Operations on tensors -- 3.2.3. Isotropic tensors -- 3.3. Second order tensors -- 3.3.1. Definitions and properties -- 3.3.2. Tensor eigenproblem -- 3.3.3. Spectral decomposition of symmetric tensor -- 3.3.4. Polar decomposition of tensor -- 3.4. Tensor functions and fields -- 3.4.1. Integration and differentiation of tensor fields -- 3.4.2. Gauss–Ostrogradski theorem -- 3.5. Curvilinear coordinate systems -- 3.6. Notations used in tensor description -- 4. Motion, deformation and strain in material continuum -- 4.1. Motion of bodies -- 4.2. Strain -- 4.2.1. Definitions -- 4.2.2. Physical meaning of strain in one dimension -- 4.2.3. Physical meaning of strain components -- 4.2.4. Some other strain tensor properties -- 4.3. Area and volumetric deformation -- 4.4. Strain rate and strain increments -- 4.4.1. Time derivative of a tensor field. Lagrangian and Eulerian description of motion -- 4.4.2. Increments and rates of strain tensor measures -- 4.4.3. Strain increments and rates in one dimension -- 4.5. Strain compatibility equations -- 5. Description of stress state -- 5.1. Introduction -- 5.1.1. Forces, stress vectors and stress tensor in continuum -- 5.1.2. Principal stress directions. Extreme stress values -- 5.2. Description of stress in deformable body -- 5.2.1. Cauchy and Piola–Kirchhoff stress tensors -- 5.2.2. Objectivity and invariance of stress measures -- 5.3. Increments and rates of stress tensors -- 5.4. Work of internal forces. Conjugate stress…
  note: by Michał Kleiber, Piotr Kowalczyk.
  subject:
    topic: Engineering
  subject:
    topic: Computer-aided engineering
  subject:
    topic: Computer mathematics
  subject:
    topic: Physics
  subject:
    topic: Mechanics
  subject:
    topic: Continuum mechanics
  subject:
    topic: Mechanical engineering
  subject:
    topic: Engineering
  subject:
    topic: Continuum Mechanics and Mechanics of Materials
  subject:
    topic: Mechanics
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Mechanical Engineering
  subject:
    topic: Computer-Aided Engineering (CAD, CAE) and Design
  subject:
    topic: Computational Science and Engineering
  classification: TA405-409.3
  classification: QA808.2
  classification: 620.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes on Numerical Methods in Engineering and Sciences
  identifier: 9783319334554
  identifier: http://dx.doi.org/10.1007/978-3-319-33455-4
  record info:
    record creation date: 160610
    record change date: 20160610152227.0
    record identifier: 978-3-319-33455-4