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The Resource Variational, incremental, and energy methods in solid mechanics and shell theory, Jayme Mason

Variational, incremental, and energy methods in solid mechanics and shell theory, Jayme Mason

Label
Variational, incremental, and energy methods in solid mechanics and shell theory
Title
Variational, incremental, and energy methods in solid mechanics and shell theory
Statement of responsibility
Jayme Mason
Creator
Author
Subject
Language
eng
Summary
Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory
Member of
Cataloging source
LGG
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Studies in applied mechanics
Series volume
4
Variational, incremental, and energy methods in solid mechanics and shell theory, Jayme Mason
Label
Variational, incremental, and energy methods in solid mechanics and shell theory, Jayme Mason
Link
http://libproxy.rpi.edu/login?url=http://www.sciencedirect.com/science/bookseries/09225382/4
Publication
Distribution
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Bibliography note
Includes bibliographical references (pages 358-364) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Front Cover; Variational, Incremental and Energy Methods in Solid Mechanics and Shell Theory; Copyright Page; Preface; Table of Contents; Introduction; Chapter 1. Mathematical preliminaries; 1.1 Tensor formulas in three-dimensional Euclidean spaces; 1.2 Tensor fomulas for surfaces; 1.3 Basic concepts and definitions in the theory of abstract spaces and operators; 1.4 Fundamentals of the classical calculus of variations; 1.5 Differentials and derivatives of operators -- Variations; 1.6 Variational boundary value problems; 1.7 Variational methods of approximation
  • Part I: Three-dimensional theoryChapter 2. Kinematics and stress in three-dimensional solid continua; 2.1 Description of motion coordinates reference and deformed states; 2.2 Kinematics of deformation; 2.3 Kinematics of incremental deformation; 2.4 Definitions of stress -- Stress rates; 2.5 Incremental stresses; 2.6 External loadings -- Boundary conditions; 2.7 Illustrative example of physical components of displacements and stress; Chapter 3. General principles -- The First and the Second Laws of Thermodynamics; 3.1 Kinematics of rigid body motions -- Invariance requirements
  • 3.2 The First Law of Thermodynamics3.3 The Second Law of Thermodynamics; 3.4 The Principles of Virtual Displacements and Virtual Forces; 3.5 Equations of equilibrium in physical components for cylindrical and spherical coordinates; Chapter 4. Constitutive material laws; 4.1 Elastic hypoelastic and hyperelastic materials; 4.2 Elastic-plastic materials; 4.3 Visco-elastic materials; Part II: Shell theory; Chapter 5. Deformation and stress in shells; 5.1 Shell middle surface: coordinates base vectors; 5.2 Description of deformation and motion in shells
  • 5.3 Kinematics of incremental deformation in shells5.4 Stress resultants and stress couples for shells -- Three-dimensional approach; 5.5 Load vectors and incremental load vectors; Chapter 6. The First Law of Thermodynamics applied to shells -- General principles; 6.1 Formulation of the First Law -- Invariance requirements; 6.2 Reduced and local forms of the First Law; 6.3 The First Law in the reference state; 6.4 Some consequences of the First Law -- Discussion -- Boundary condition; 6.5 Incremental forms of the First Law of Thermodynamics; 6.6 Incremental theory and stability
  • 6.7 The Principles of Virtual Displacements and Virtual Forces for shellsChapter 7. Constitutive relations and material laws for shells; 7.1 Material laws for thin elastic shells; 7.2 Hyperelastic incremental material relations; 7.3 A note on the constitutive relations for inelastic shells; Part III: Variational principles finite element models and applications elastic stability; Chapter 8. Variational principles of elasticity and shell theory -- Classical approach; 8.1 Variational principles of three-dimensional elasticity; 8.2 Variational principles of elastic shell theory
  • 8.3 Special cases -- the Principles of Reciprocity Clapeyron Castigliano and Menabrea
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781483289649&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4171098'}
Extent
1 online resource (xiv, 368 pages)
Form of item
online
Isbn
9781483289649
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote

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