Engineering Computations: Volume 39 Issue 1

Guest editorial

An introduction to the topological derivative

This paper provides a self-contained introduction to the mathematical aspects of the topological derivative.

Topological derivatives via one-sided derivative of parametrized minima and minimax

The object of the paper is to illustrate how to obtain the topological derivative as a semidifferential in a general and practical mathematical setting for d-dimensional…

Adjoint-based methods to compute higher-order topological derivatives with an application to elasticity

The goal of this paper is to give a comprehensive and short review on how to compute the first- and second-order topological derivatives and potentially higher-order topological…

Topological sensitivity analysis with respect to a small idealized bolt

This paper is devoted to the theoretical and numerical study of a new topological sensitivity concerning the insertion of a small bolt connecting two parts in a mechanical…

Shape and topology optimal design problems in electromagnetic casting

In this paper the authors review the recent numerical techniques proposed to solve the forward and inverse problems concerning the electromagnetic casting and electromagnetic…

Shape optimization in acoustic–structure interaction

Motivated by the acoustics of motor vehicles, a coupled fluid–solid system is considered. The air pressure is modeled by the Helmholtz equation, and the structure displacement is…

Imaging of small penetrable obstacles based on the topological derivative method

The purpose of this paper is to present topological derivatives-based reconstruction algorithms to solve an inverse scattering problem for penetrable obstacles.

Topological sensitivity analysis revisited for time-harmonic wave scattering problems. Part I: the free space case

In this paper, the authors revisit the computation of closed-form expressions of the topological indicator function for a one step imaging algorithm of two- and three-dimensional…

Topological sensitivity analysis revisited for time-harmonic wave scattering problems. Part II: recursive computations by the boundary integral equation method

The purpose of this paper is to revisit the recursive computation of closed-form expressions for the topological derivative of shape functionals in the context of time-harmonic…

On the justification of topological derivative for wave-based qualitative imaging of finite-sized defects in bounded media

This work contributes to the general problem of justifying the validity of the heuristic that underpins medium imaging using topological derivatives (TDs), which involves the sign…

Inverse homogenization using the topological derivative

The purpose of this study is to solve the inverse homogenization problem, or so-called material design problem, using the topological derivative concept.

A topology optimization algorithm based on topological derivative and level-set function for designing phononic crystals

This work presents a topology optimization methodology for designing microarchitectures of phononic crystals. The objective is to get microstructures having, as a consequence of…

Topology optimization of structures subject to self-weight loading under stress constraints

The purpose of this paper is to present an approach for structural weight minimization under von Mises stress constraints and self-weight loading based on the topological…

Optimum design of two-material bending plate compliant devices

The purpose of this study is to explore the optimum design of bending plate compliant mechanisms subjected to pure mechanical excitations using topological-derivative-based…

Brittle fracture on plates governed by topological derivatives

In the paper an approach for crack nucleation and propagation phenomena in brittle plate structures is presented.

Experimental validation of a topological derivative-based crack growth control method using digital image correlation

The purpose of this paper is to experimentally validate the crack growth control based on the topological derivative of the famous Rice's integral.