Mechanics analysis

This book is concerned with the topical problems of mechanics of advanced composite materials whose mechanical properties are controlled by high-strength and high-stiffness continuous fibers embedded in polymeric, metal, or ceramic matrix. Although the idea of combining two or more components to produce materials with controlled properties has been known and used from time immemorial, modern composites were only developed several decades ago and have now found intensive application in different fields of engineering, particularly in aerospace structures for which high strength-to-weight and stiffness-to-weight ratios are required. There already exist numerous publications that cover anisotropic elasticity, mechanics of composite materials, design, analysis, fabrication, and application of composite structures but the difference between this book and the existing ones is that this is of a more specific nature. It covers specific features of material behaviour such as nonlinear elasticity, plasticity, creep, and structural nonlinearity and discusses in detail the problems of material micro- and macro-mechanics that are only slightly touched in existing books, e. The authors are designers of composite structures who were involved in practically all the main Soviet and then Russian projects in composite technology, and the permission of the Russian Composite Center - Central Institute of Special Machinery CRISM to use in this book the pictures of structures developed and fabricated in CRISM as part of the joint research and design project is much appreciated.

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Structural mechanics

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Mechanics and Analysis of Composite Materials - 1st Edition

The scientific revolution had bequeathed to mathematics a major program of research in analysis and mechanics. With expansion came specialization as different parts of the subject acquired their own identity: ordinary and partial differential equations , calculus of variations , infinite series , and differential geometry. The applications of analysis were also varied, including the theory of the vibrating string, particle dynamics , the theory of rigid bodies, the mechanics of flexible and elastic media, and the theory of compressible and incompressible fluids. Analysis and mechanics developed in close association, with problems in one giving rise to concepts and techniques in the other, and all the leading mathematicians of the period made important contributions to mechanics. The close relationship between mathematics and mechanics in the 18th century had roots extending deep into Enlightenment thought. Mathematical mechanics itself as it was practiced in the 18th century differed in important respects from later physics.
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Mechanics and Analysis of Composite Materials

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Structural mechanics or Mechanics of structures is the computation of deformations , deflections , and internal forces or stresses stress equivalents within structures, either for design or for performance evaluation of existing structures. It is one subset of structural analysis. Structural mechanics analysis needs input data such as structural loads , the structure's geometric representation and support conditions, and the materials' properties. Output quantities may include support reactions, stresses and displacements.
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