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In view of the growing importance of product liability and the demand for fulfillment of extreme specifications for new products, this book provides the basic tools for establishing model equations in structural mechanics. Additionally, it illustrates the transition and interrelation between structural mechanics and structural optimization. Nowadays, this new direction is extremely important for more efficiency in the design process. The book is divided into four parts covering the fundamentals of elasticity, plane and curved load-bearing structures and structural optimization. Each part contains numerous problems and solutions, which will provide the student with the basic tools from the field of elasticity theory and assist the professional engineer in solving problems.
List of contents
1 Introduction.- A Fundamentals of elasticity - Chapter 2 to 7 -.- A.1 Definitions - Formulas - Concepts.- 2 Tensor algebra and analysis.- 3 State of stress.- 4 State of strain.- 5 Constitutive laws of linearly elastic bodies.- 6 Energy principles.- 7 Problem formulations in the theory of linear elasticity.- A.2 Exercises.- B Plane load-bearing structures - Chapter 8 to 10 -.- B.1 Definitions - Formulas - Concepts.- 8 Disks.- 10 Coupled disk-plate problems.- B.2 Exercises.- C Curved load-bearing structures - Chapter 11 to 14 -.- C.1 Definitions - Formulas - Concepts.- 11 General fundamentals of shells.- 12 Membrane theory of shells.- 13 Bending theory of shells of revolution.- 14 Theory of shallow shells.- C.2 Exercises.- D Structural optimization - Chapter 15 to 18 -.- D.1 Definitions - Formulas - Concepts.- 15 Fundamentals of structural optimization.- 16 Algorithms of Mathematical Programming (MP).- 17 Sensitivity analysis of structures.- 18 Optimization strategies.- D.2 Exercises.- References.- A Fundamentals of elasticity.- B Plane load-bearing structures.- C Curved load-bearing structures.- D Structural optimization.
