Variational approach by means of adjoint systems to structural optimization and sensitivity analysis. II. Structure shape variation (Q1065618)
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scientific article; zbMATH DE number 3924298
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| English | Variational approach by means of adjoint systems to structural optimization and sensitivity analysis. II. Structure shape variation |
scientific article; zbMATH DE number 3924298 |
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Variational approach by means of adjoint systems to structural optimization and sensitivity analysis. II. Structure shape variation (English)
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1984
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[For part I see ibid. 19, 677-692 (1983; Zbl 0515.73085).] In the work the basic approach to sensitivity analysis with respect to design functions varying within a specified domain is discussed. For a linear elastic structure, the first variation of arbitrary stress, strain and displacement functionals corresponding to the shape of external boundaries or interfaces is derived by using the solutions for primary and adjoint systems. The application to optimal design is next presented and the relevant optimality conditions are derived from general expressions.
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path-independent integrals
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potential and complementary energies
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boundary variation
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sensitivity analysis with respect to design functions
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linear elastic structure
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first variation
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arbitrary stress
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strain
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displacement functionals
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shape of external boundaries
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interfaces
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solutions for primary and adjoint systems
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optimal design
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optimality conditions
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