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Applied Structural Mechanics

Fundamentals of Elasticity, Load-Bearing Structures, Structural Optimization

  • Textbook
  • © 1997

Overview

Authors:
  1. H. Eschenauer

    1. Research Center for Multidisciplinary Analyses and Applied Structural Optimization FOMAAS Institute of Mechanics and Control Engineering, University of Siegen, Siegen, Germany

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  2. N. Olhoff

    1. Institute of Mechanical Engineering, Aalborg University, Aalborg East, Denmark

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  3. W. Schnell

    1. Institute of Mechanics, Technical University of Darmstadt, Darmstadt, Germany

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-XVIII
    Download chapter PDF

  2. Introduction

    1. Introduction

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 1-3

  3. Fundamentals of elasticity — Chapter 2 to 7 —

    1. Tensor algebra and analysis

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 5-18

    2. State of stress

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 18-26

    3. State of strain

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 26-31

    4. Constitutive laws of linearly elastic bodies

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 31-39

    5. Energy principles

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 39-48

    6. Problem formulations in the theory of linear elasticity

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 48-52

  4. Plane load—bearing structures — Chapter 8 to 10 —

    1. Disks

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 93-99

    2. Plates

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 99-112

    3. Coupled disk—plate problems

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 113-122

  5. Curved load—bearing structures — Chapter 11 to 14 —

    1. Front Matter

      Pages 247-296
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    2. General fundamentals of shells

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 199-214

    3. Membrane theory of shells

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 214-221

    4. Bending theory of shells of revolution

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 222-240

    5. Theory of shallow shells

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 241-300

  6. Structural optimization — Chapter 15 to 18 —

    1. Front Matter

      Pages 337-370
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    2. Fundamentals of structural optimization

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 301-310

    3. Algorithms of Mathematical Programming (MP)

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 310-321

    4. Sensitivity analysis of structures

      • H. Eschenauer, N. Olhoff, W. Schnell
      Pages 321-324
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Keywords

About this book

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.

Authors and Affiliations

  • Research Center for Multidisciplinary Analyses and Applied Structural Optimization FOMAAS Institute of Mechanics and Control Engineering, University of Siegen, Siegen, Germany

    H. Eschenauer

  • Institute of Mechanical Engineering, Aalborg University, Aalborg East, Denmark

    N. Olhoff

  • Institute of Mechanics, Technical University of Darmstadt, Darmstadt, Germany

    W. Schnell

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