Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method

Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method by Zhiye Zhao.

This book investigates the various aspects of shape optimization of two­ dimensional continuum structures, including shape design sensitivity analysis, structural analysis using the boundary element method (BEM), and shape optimization implementation. The book begins by reviewing the developments of...

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Bibliographic Details
Main Author: Zhao, Zhiye (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991.
Edition:1st ed. 1991.
Series:Lecture Notes in Engineering, 62
Springer eBook Collection.
Subjects:
Civil engineering.
Mechanical engineering.
Mechanics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 1.1 Introduction
  • 1.2 Review of the Shape Optimization
  • 1.3 References
  • 2 Basic Numerical Optimization Techniques
  • 2.1 Introduction
  • 2.2 Basic Concepts and Terminology
  • 2.3 Mathematical Programming Method
  • 2.4 References
  • 3 The Boundary Element Method in Elastostatics
  • 3.1 Introduction
  • 3.2 Review of the Boundary Element Method in Elastostatics
  • 3.3 The Boundary Element Method in Elastostatics
  • 3.4 Conclusion Remarks
  • 3.5 References
  • 4 Shape Design Sensitivity Analysis using the Boundary Element Method
  • 4.1 Introduction
  • 4.2 Two Basic Approaches for Design Sensitivity Analysis
  • 4.3 The Implementation of the Material Derivative of Displacements
  • 4.4 Stress Sensitivity Analysis by CA
  • 4.5 The Modelling of the Adjoint Problem
  • 4.6 Implementation of the Singularity Subtraction Method
  • 4.7 A New Finite Difference Based Approach to Shape Design Sensitivity Analysis
  • 4.8 Numerical Examples
  • 4.9 Concluding Remarks
  • 4.10 References
  • 5 Shape Optimization Using the Boundary Element Method
  • 5.1 Introduction
  • 5.2 The Design Model and the Analysis Model
  • 5.3 Shape Optimization Implementation
  • 5.4 Numerical Examples
  • 5.5 References
  • A Fundamental Solutions of the Semi-infinite Plane
  • B Derivatives of Boundary Stresses on the Normal Direction.

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