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Searching for the optimal partitioning of a domain leads to the use of the adjoint method in topological asymptotic expansions to know the influence of a domain perturbation on a cost function. Our approach works by restricting to local subproblems containing the perturbation and outperforms the adjoint method by providing approximations of higher order. It is a universal tool, easily adapted to different kinds of real problems and does not need the fundamental solution of the problem; furthermore...
Searching for the optimal partitioning of a domain leads to the use of the adjoint method
in topological asymptotic expansions to know the influence of a domain perturbation on a
cost function. Our approach works by restricting to local subproblems containing the
perturbation and outperforms the adjoint method by providing approximations of higher
order. It is a universal tool, easily adapted to different kinds of real problems and does
not need...
Perturbed parameters are considered in a hypoplastic model of granular materials. For fixed parameters, the model response to a periodic stress loading and unloading converges to a limit state of strain. The focus of this contribution is the assessment of the change in the limit strain caused by varying model parameters.
We study a model of interfacial crack between two bonded dissimilar linearized elastic media. The Coulomb friction law and non-penetration condition are assumed to hold on the whole crack surface. We define a weak formulation of the problem in the primal form and get the equivalent primal-dual formulation. Then we state the existence theorem of the solution. Further, by means of Goursat-Kolosov-Muskhelishvili stress functions we derive convergent expansions of the solution near the crack tip.
In this paper we present a new hybrid method, called SASP method. We propose the
hybridization of two methods, the simulated annealing (SA), which belong to the class of
global optimization based on the principles of thermodynamics, and the descent method were
we estimate the gradient using the simultaneous perturbation. This hybrid method gives
better results. We use the Normal Boundary Intersection approach (NBI) based on the SASP
method to solve...
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