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|a Salencon, Jean.
|e author.
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|a Handbook of Continuum Mechanics
|h [electronic resource] :
|b General Concepts Thermoelasticity /
|c by Jean Salencon.
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|a 1st ed. 2001.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2001.
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|a XIX, 804 p.
|b online resource.
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|a text
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|a I. Modelling the Continuum -- II. Deformation -- III. Kinematics -- IV. The Virtual Work Approach to the Modelling of Forces -- V. Modelling Forces in Continuum Mechanics -- VI. Local Analysis of Stresses -- VII. Thermoelasticity -- VIII. Thermoelastic Processes and Equilibrium -- IX. Classic Topics in Three-Dimensional Elasticity -- X. Variational Methods in Linearised Thermoelasticity -- XI. Statics of One-Dimensional Media -- XII. Thermoelastic Structural Analysis -- Appendices -- I. Element of Tensor Calculus -- 1 Tensors on a Vector Space -- 1.1 Definition -- 1.2 First Rank Tensors -- 1.3 Second Rank Tensors -- 2 Tensor Product of Tensors -- 2.1 Definition -- 2.2 Examples -- 2.3 Product Tensors -- 3 Tensor Components -- 3.1 Definition -- 3.2 Change of Basis -- 3.3 Mixed Second Rank Tensors -- 3.4 Twice Contravariant or Twice Covariant Second Rank Tensors -- 3.5 Components of a Tensor Product -- 4 Contraction -- 4.1 Definition of the Contraction of a Tensor -- 4.2 Contracted Multiplication -- 4.3 Doubly Contracted Product of Two Tensors -- 4.4 Total Contraction of a Tensor Product -- 4.5 Defining Tensors by Duality -- 4.6 Invariants of a Mixed Second Rank Tensor -- 5 Tensors on a Euclidean Vector Space -- 5.1 Definition of a Euclidean Space -- 5.2 Application: Deformation in a Linear Mapping -- 5.5 First Rank Euclidean Tensors and the Contracted Product -- 5.6 Second Rank Euclidean Tensors of Simple Product Form and their Contracted Products -- 5.7 Second Rank Euclidean Tensors -- 5.10 Principal Axes and Principal Values of a Real Symmetric Second Rank Euclidean Tensor -- 6 Tensor Fields -- 6.1 Definition -- 6.2 Derivative and Gradient of a Tensor Field -- 6.3 Divergence of a Tensor Field -- 6.4 Curvilinear Coordinates -- Summary of Main Formulas -- II. Differential Operators: Basic Formulas -- 1 Orthonormal Cartesian Coordinates -- 1.1 Coordinates -- 1.2 Vector Field -- 1.3 Scalar Function -- 1.4 Second Rank Tensor Field -- 2 General Cartesian Coordinates -- 2.1 Coordinates -- 2.2 Vector Field -- 2.3 Scalar Function -- 2.4 Second Rank Tensor Field -- 3 Cylindrical Coordinates -- 3.1 Parametrisation -- 3.2 Vector Field -- 3.3 Scalar Function -- 3.4 Symmetric Second Rank Tensor Field -- 4 Spherical Coordinates -- 4.1 Parametrisation -- 4.2 Vector Field -- 4.3 Scalar Function -- 4.4 Symmetric Second Rank Tensor Field -- III. Elements of Plane Elasticity -- 1 Plane Problems -- 2 Plane Strain Thermoelastic Equilibrium -- 2.1 Plane Linearised Strain Tensor -- 2.2 Plane Strain Displacement Field -- 2.3 Plane Strain Thermoelastic Equilibrium in a Homogeneous and Isotropic Material -- 2.4 Solution by the Displacement Method -- 2.5 Solution by the Stress Method -- 2.6 Remarks on the Plane Strain Two-Dimensional Problem -- 2.7 Two-Dimensional Beltrami-Michell Equation -- 2.8 Body Forces Deriving from a Potential. Airy Function -- 2.9 Cylindrical Tube Under Pressure -- 3 Plane Stress Thermoelastic Equilibrium -- 3.1 Plane Stress Tensor -- 3.2 Plane Stress Field -- 3.3 Plane Stress Thermoelastic Equilibrium in a Homogeneous and Isotropic Material -- 3.4 Solution -- 3.5 Cylindrical Tube Under Pressure -- Summary of Main Formulas.
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|a This outstanding approach to Continuum Mechanics follows the traditional lectures held at the Ecole Polytechnique. Its highly mathematical level of teaching, together with abstracts, summaries, boxes of essential formulas and numerous exercises with solutions, make the Handbook of Continuum Mechanics the most complete book in this area. Students, lecturers, and practitioners alike will find it a rich source for their studies or daily work. A fold-out glossary and a short reader as a booklet are included.
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Thermodynamics.
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|a Heat engineering.
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|a Heat transfer.
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|a Mass transfer.
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|a Mechanics.
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|a Mechanics, Applied.
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|a Engineering.
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|a Applied mathematics.
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650 |
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|a Engineering mathematics.
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