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Advanced Mechanics of Materials and Applied Elasticity
ISBN-13:
9781420057775
Veröffentl:
2016
Seiten:
992
Autor:
Anthony E. Armenàkas
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
This book provides a mathematically elegant formulation of both differential equation and integral formulations of boundary value problems on the basis of isotropic linear theory of elasticity and theories of mechanics of materials. The author develops a methodology for the analysis of stress, deformation, and stability of various structural elements using both the linear theory of elasticity and the theory of mechanics of materials and comparing the results obtained from each. His well-balanced coverage and choice of topics, clear and direct presentation, and emphasis on the integration of sophisticated mathematics with practical examples make this an unparalleled guide and reference.
Cartesian Tensors. The Strain and Stress Tensors. Stress-Strain Relations. Yield and Failure Criteria. Formulation and Solution of Boundary Value Problems Using the Linear Theory of Elasticity. Prismatic Bodies Subjected to Torsional Moments at Their Ends. Plane Strain and Plane Stress Problems in Elasticity. The Theories of Mechanics of Materials. The Theories of Mechanics of Materials for Straight Beams Made from Isotropic, Linearly Elastic Mechanics. Non-Prismatic Members-Stress Concentrations. Planar Curved Beams. Thin-Walled Tubular Members. Integral Theorems of Structural Mechanics. Analysis of Statically Indeterminate Framed Structures. The Finite Element Method. Plastic Analysis and Design of Structures. The Mechanics of Materials Theory for Thin Plates. Instability of Elastic Structures.
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