Inverse and crack identification problems in engineering mechanics /
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| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht ; Boston :
Kluwer Academic Publishers,
[2001]
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| Series: | Applied optimization ;
v. 46. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Direct and Inverse Problems
- Direct nonsmooth mechanics problems
- Inverse and identification problems
- Recent results and future work
- Theoretical and Computational Tools
- Computational Mechanics
- Elastostatics
- Small displacement smooth (classical) elastostatics
- Unilateral contact problems
- The unilateral contact conditions
- Friction problems with convex energy potential
- Combined frictional contact problem
- BEM formulation and implementation
- BEM formulation of unilateral problems
- LCP-BEM static unilateral-frictional contact problems
- Multi-region BEM formulation for inequality problems
- Unified LCP formulation of combined unilateral frictional contact problems
- Solution algorithms
- Smooth and nonsmooth optimization approach
- QPP and LCP solution schemes
- Nonlinear equations for complementerity problems
- Nonlinear equation reformulation
- Examples of NCP functions
- Merit functions
- Solution technique
- Formulation of nonlinear equations with FEM and BEM
- NCP functions proposed in the engineering literature
- Elastodynamics
- Steady state, harmonic problems
- Transient elastodynamics
- LCP-BEM dynamic unilateral-frictional contact problems
- Computational and Structural Optimization
- Optimization and optimality conditions
- Smooth, inequality constrained, convex problems
- Lagrangians, saddle points, duality
- Concise form of optimality conditions
- Convex, nonsmooth optimization
- Unconstrained
- Constrained
- Convex optimization algorithms.