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Journal ArticleDOI

Simultaneous material/load/shape variations of thermoelastic structures

R. A. Meric
- 01 Feb 1990 - 
- Vol. 28, Iss: 2, pp 296-302
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TLDR
In this article, a continuous approach is adopted in order to find the total variation of a general performance criterion, which may find important physical applications in simultaneous shape optimization and control of large space structures in time by applied thermal and/or mechanical loads.
Abstract
A continuous approach is adopted in order to find the total variation of a general performance criterion. The present analysis may find important physical applications in the simultaneous shape optimization and control of large space structures in time by applied thermal and/or mechanical loads. The adjoint variable method and the material derivative concept are used to find the sensitivity expressions

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Citations
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Journal ArticleDOI

Finite element simulation of adaptive bone remodelling: A stability criterion and a time stepping method

TL;DR: In this article, an Euler backward time stepping technique was used to test the stability conditions for bone remodeling. But the results of the stability tests indicate that the converged density distributions in the examples studied are stable.
Journal ArticleDOI

A review on shape optimal design and sensitivity analysis

TL;DR: In this article, a review of shape optimal design and shape design sensitivity analysis with an emphasis on techniques dealing with shape of the boundaries of two-and three-dimensional bodies is presented.
Journal ArticleDOI

Shape sensitivity analysis of piezoelectric structures by the adjoint variable method

TL;DR: In this paper, shape sensitivity expressions for linear piezoelectric structures with coupled mechanical and elastic fields were derived by adopting the quasielectrostatic approximation for these inherently anisotropic materials, the adjoint variable method of optimization and the material derivative formulation of shape variations.
Journal ArticleDOI

Design sensitivity analysis in dynamic thermoviscoelasticity with implicit integration

TL;DR: In this article, the design sensitivity equations for coupled thermoviscoelastic systems are discretized via the finite element method, using the total Lagrangian approach and the reference domain concept.
Journal ArticleDOI

Design sensitivity analysis of coupled thermoviscoelastic systems

TL;DR: In this paper, direct differentiation and adjoint variable methods for design sensitivity analysis of transient dynamic, arbitrarily nonlinear thermoviscoelastic coupled systems are presented, based on the thermodynamic description of simple materials due to Coleman.
References
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Book

Theory of thermal stresses

TL;DR: Theory of thermal stresses, Theory of Thermal Stresses, this paper, Theory of thermal stress, and thermal stresses theory, thermal stresses and thermal stress theory in literature, 2015.
Book

Design Sensitivity Analysis of Structural Systems

TL;DR: In this paper, the mathematical and engineering foundations of sensitivity analysis of structural systems are examined with a broad range of applications to structural components and structural systems, including finite element models, design distribution of material described by functions and shape, and built-up structures that are composed of interconnected components.
Journal ArticleDOI

An approach to structure/control simultaneous optimization for large flexible spacecraft

TL;DR: In this paper, the authors present an approach to the simultaneous optimal design of a structure and control system for large flexible spacecrafts based on realistic objective function and constraints, where the weight or total cost of the structure and the control system is minimized subject to constraints on the magnitude of response to a given disturbance involving both rigid-body and elastic modes.
Journal ArticleDOI

Variational approach by means of adjoint systems to structural optimization and sensitivity analysis—II: Structure shape variation

TL;DR: For a linear elastic structure, the first variation of an arbitrary stress, strain and displacement functionals corresponding to variation of shape of external boundaries or interfaces is derived by using the solutions for primary and adjoint systems as discussed by the authors.
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