Sensitivity of the macroscopic elasticity tensor to topological microstructural changes
type: Item
instance of: scholarly article
title: Sensitivity of the macroscopic elasticity tensor to topological microstructural changes
zbMATH Open document ID: 1170.74372
published in: Journal of the Mechanics and Physics of Solids
publication date: 2009-08-31T00:00:00Z
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 5600191
zbMATH Keywords: homogenized
zbMATH Keywords: elasticity tensor
zbMATH Keywords: topological derivative
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: multi-scale modelling
zbMATH Keywords: synthesis of microstructures
author: S. M. Giusti
author: A. A. Novotny
author: E. A. de Souza Neto
author: R. A. Feijóo
MaRDI profile type: Publication
full work available at URL: j.jmps.2008.11.008
OpenAlex ID: W1996943444
cites work: Reconstruction of small inhomogeneities from boundary measurements
cites work: Polarization and moment tensors. With applications to inverse problems and effective medium theory
cites work: The topological asymptotic for the Navier-Stokes equations
cites work: Q3410654
cites work: A new algorithm for topology optimization using a level-set method
cites work: Q5323150
cites work: Application of the topological gradient to image restoration and edge detection
cites work: Generating optimal topologies in structural design using a homogenization method
cites work: Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain
cites work: Incorporating topological derivatives into level set methods.
cites work: The shape and topological optimizations' connection
cites work: The elastic energy-momentum tensor
cites work: Second order topological sensitivity analysis
cites work: A new method in inverse scattering based on the topological derivative
cites work: Topological sensitivity analysis
cites work: The topological asymptotic for PDE systems: The elasticity case
cites work: Continuum Thermodynamics
cites work: Topological sensitivity analysis of inclusion in two-dimensional linear elasticity
cites work: An assessment of the Gurson yield criterion by a computational multi‐scale approach
cites work: The Topological Asymptotic Expansion for the Dirichlet Problem
cites work: Topological Sensitivity and Shape Optimization for the Stokes Equations
cites work: A generalization of the Beltrami stress functions in continuum mechanics
cites work: Configuration forces as basic concepts of continuum physics
cites work: From imaging to material identification: a generalized concept of topological sensitivity
cites work: Design sensitivity analysis of structural systems
cites work: Q5323159
cites work: Q4259427
cites work: Energy change due to the appearance of cavities in elastic solids.
cites work: Q4133236
cites work: Q4772777
cites work: The topological asymptotic expansion for the Maxwell equations and some applications
cites work: Effective properties of composite materials with periodic microstructure: A computational approach
cites work: Asymptotic analysis of shape functionals
cites work: Q4824153
cites work: Q5323161
cites work: Topological sensitivity analysis for three-dimensional linear elasticity problem
cites work: The Topological Asymptotic for the Helmholtz Equation
cites work: Non-homogeneous media and vibration theory
cites work: On the Topological Derivative in Shape Optimization
cites work: Optimality Conditions for Simultaneous Topology and Shape Optimization
cites work: Modelling of topological derivatives for contact problems
cites work: Q4000354
DOI: 10.1016/J.JMPS.2008.11.008
description: scientific article; zbMATH DE number 5600191