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cover of the book Stressed Composite Structures: Homogenized Models for Thin-Walled Nonhomogeneous Structures with Initial Stresses

Ebook: Stressed Composite Structures: Homogenized Models for Thin-Walled Nonhomogeneous Structures with Initial Stresses

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27.01.2024
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The basic concepts of traditional mechanics of stressed structures are suitable for classical uniform structures made of homogeneous materials but not for complex structures such as a network plate or structures made of composite materials. In this book a new approach to stressed inhomogeneous structures is presented, leading to significant changes in the classical concepts of stressed bodies, especially plates, membranes, rods and beams. The approach is based on the rigorous mathematical asymptotic homogenization method and its newly elaborated modifications. It can be applied to the analysis, mechanical design and optimization problems of composite structures, including buckling problems.




The basic concepts of traditional mechanics of stressed structures are suitable for classical uniform structures made of homogeneous materials but not for complex structures such as a network plate or structures made of composite materials. In this book a new approach to stressed inhomogeneous structures is presented, leading to significant changes in the classical concepts of stressed bodies, especially plates, membranes, rods and beams. The approach is based on the rigorous mathematical asymptotic homogenization method and its newly elaborated modifications. It can be applied to the analysis, mechanical design and optimization problems of composite structures, including buckling problems.




The basic concepts of traditional mechanics of stressed structures are suitable for classical uniform structures made of homogeneous materials but not for complex structures such as a network plate or structures made of composite materials. In this book a new approach to stressed inhomogeneous structures is presented, leading to significant changes in the classical concepts of stressed bodies, especially plates, membranes, rods and beams. The approach is based on the rigorous mathematical asymptotic homogenization method and its newly elaborated modifications. It can be applied to the analysis, mechanical design and optimization problems of composite structures, including buckling problems.


Content:
Front Matter....Pages I-XI
Introduction to the Homogenization Method as Applied to Stressed Composite Materials....Pages 1-20
Stressed Composite Plates and Membranes....Pages 21-82
Stressed Composite Beams, Rods, and Strings....Pages 83-148
Calculation and Estimation of Homogenized Stiffnesses of Plate-Like and Beam-Like Composite Structures....Pages 149-206
Back Matter....Pages 207-229


The basic concepts of traditional mechanics of stressed structures are suitable for classical uniform structures made of homogeneous materials but not for complex structures such as a network plate or structures made of composite materials. In this book a new approach to stressed inhomogeneous structures is presented, leading to significant changes in the classical concepts of stressed bodies, especially plates, membranes, rods and beams. The approach is based on the rigorous mathematical asymptotic homogenization method and its newly elaborated modifications. It can be applied to the analysis, mechanical design and optimization problems of composite structures, including buckling problems.


Content:
Front Matter....Pages I-XI
Introduction to the Homogenization Method as Applied to Stressed Composite Materials....Pages 1-20
Stressed Composite Plates and Membranes....Pages 21-82
Stressed Composite Beams, Rods, and Strings....Pages 83-148
Calculation and Estimation of Homogenized Stiffnesses of Plate-Like and Beam-Like Composite Structures....Pages 149-206
Back Matter....Pages 207-229
....
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