Material interpolation schemes in topology optimization

No abstract is available for this paper.

• Publication year

  1999

• Venue

  Archive of Applied Mechanics

• Publication date

  1999-11-22

• Fields of study

  Mathematics, Materials Science, Engineering

• Identifiers
  DOI 10.1007/S004190050248
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Multiphase composites with extremal bulk modulus

  2000cited by this paper
• Stiffness design of geometrically nonlinear structures using topology optimization

  2000cited by this paper
• A new class of extremal composites

  2000influential reference
• Maximization of eigenvalues using topology optimization

  2000cited by this paper
• On optimal microstructures for a plane shape optimization problem

  1999cited by this paper
• Topology optimization using a dual method with discrete variables

  1999cited by this paper
• Some convergence results in perimeter-controlled topology optimization

  1999cited by this paper
• A Finite Element Analysis of Optimal Variable Thickness Sheets

  1999cited by this paper
• Optimization of 2-D structures subjected to nonlinear deformations using the homogenization method

  1999cited by this paper
• Problem Formulation, Solution Procedures and Geometric Modeling: Key issues in Variable-Topology Optimization

  1998cited by this paper
• Optimal design of periodic piezocomposites

  1998cited by this paper
• Adaptive topology optimization of elastoplastic structures

  1998cited by this paper
• A method for treating damage related criteria in optimal topology design of continuum structures

  1998cited by this paper
• Topology optimization in multiphysics problems

  1998cited by this paper
• Topology optimization of continuum structures with local stress constraints

  1998cited by this paper
• Effective mechanical and transport properties of cellular solids

  1998cited by this paper
• Slope constrained topology optimization

  1998cited by this paper
• Topology optimization of three-dimensional structures using optimum microstructures

  1998cited by this paper
• Topology optimization of geometrically nonlinear structures and compliant mechanisms

  1998cited by this paper
• Parametrization in Laminate Design for Optimal Compliance

  1997cited by this paper
• Topology design of material layout in structured composites of high stiffness and strength

  1997cited by this paper
• Design of materials with extreme thermal expansion using a three-phase topology optimization method

  1997influential reference
• Free material optimization via mathematical programming

  1997cited by this paper
• On the prediction of material properties and topology for optimal continuum structures

  1997cited by this paper
• Optimal design of piezoelectric microstructures

  1997cited by this paper
• Voigt–Reuss topology optimization for structures with linear elastic material behaviours

  1997cited by this paper
• ε-relaxed approach in structural topology optimization

  1997cited by this paper
• Shape optimization by the homogenization method

  1997cited by this paper
• Optimal material layout for 3D elastic structures

  1997cited by this paper
• VOIGT-REUSS TOPOLOGY OPTIMIZATION FOR STRUCTURES WITH NONLINEAR MATERIAL BEHAVIORS

  1997cited by this paper
• Optimal 3D stiffener design with frequency considerations

  1997cited by this paper
• Extremal eigenvalue problems for two-phase conductors

  1996cited by this paper
• A new approach to variable-topology shape design using a constraint on perimeter

  1996cited by this paper
• On optimum design of structures and materials

  1996cited by this paper
• Topology optimization: A new microstructure-based design domain method

  1996cited by this paper
• A material based model for topology optimization of thermoelastic structures

  1995cited by this paper
• Microstructures minimizing the energy of a two phase elastic composite in two space dimensions.

  1995cited by this paper
• Optimization of Structural Topology, Shape, And Material

  1995cited by this paper
• Optimal Shape and Topology Design of Vibrating Structures

  1995cited by this paper
• Rigorous link between the conductivity and elastic moduli of fibre-reinforced composite materials

  1995cited by this paper
• Optimization of a frame structure subjected to a plastic deformation

  1995cited by this paper
• Generalized topology design of structures with a buckling load criterion

  1995cited by this paper
• Tailoring materials with prescribed elastic properties

  1995cited by this paper
• Which Elasticity Tensors are Realizable

  1995cited by this paper
• An Analytical Model to Predict Optimal Material Properties in the Context of Optimal Structural Design

  1994cited by this paper
• Topology design with optimized, self‐adaptive materials

  1994cited by this paper
• Synthesis of Optimal Shape and Topology of Structures

  1994cited by this paper
• Optimal rectangular plate and shallow shell topologies using thickness distribution or homogenization

  1994cited by this paper
• Materials with prescribed constitutive parameters: An inverse homogenization problem

  1994cited by this paper
• An existence result for a class of shape optimization problems

  1993cited by this paper
• On finding the optimal distribution of material properties

  1993cited by this paper
• Optimal design for minimum weight and compliance in plane stress using extremal microstructures

  1993cited by this paper
• A Numerical Algorithm for Topology and Shape Optimization

  1993cited by this paper
• Optimal bounds on the effective behavior of a mixture of two well-ordered elastic materials

  1993cited by this paper
• Optimal Orientation of Anisotropic Materials Optimal Distribution of Anisotropic Materials Optimal Shape Design with Anisotropic Materials Optimal Design for a Class of Non-Linear Elasticity

  1993cited by this paper
• An optimal design problem with perimeter penalization

  1993cited by this paper
• An engineer's approach to optimal material distribution and shape finding

  1993cited by this paper
• Topology optimization of structures composed of one or two materials

  1992cited by this paper
• SKO (soft kill option): the biological way to find an optimum structure topology

  1992cited by this paper
• The COC algorithm, Part II: Topological, geometrical and generalized shape optimization

  1991cited by this paper
• On singular topologies in optimum structural design

  1990cited by this paper
• Optimal shape design as a material distribution problem

  1989cited by this paper
• Generating optimal topologies in structural design using a homogenization method

  1988cited by this paper
• Optimal bounds and microgeometries for elastic two-phase composites

  1987cited by this paper
• Numerical study of a relaxed variational problem from optimal design

  1986cited by this paper
• Optimal design and relaxation of variational problems, III

  1986cited by this paper
• Optimal design of elastic plates with a constraint on the slope of the thickness function

  1983cited by this paper
• On Obtaining a Solution to Optimization Problems for Solid, Elastic Plates by Restriction of the Design Space*

  1983cited by this paper
• Regularization of optimal design problems for bars and plates, part 2

  1982cited by this paper
• An investigation concerning optimal design of solid elastic plates

  1981cited by this paper
• On the existence of a solution in a domain identification problem

  1975cited by this paper
• A Finite Element Method for the Optimal Design of Variable Thickness Sheets

  1973cited by this paper
• A variational approach to the theory of the elastic behaviour of multiphase materials

  1963cited by this paper

• Thermoelastic stiffness topology optimization considering ceramic submicro-crack propagation under tension

  2026cites this paper
• A topology optimized spinal fusion cage for the use of weak but osteoinductive bioceramics as synthetic bone grafts

  2026cites this paper
• Data-driven enhanced multi-scale topology optimization of lattice structures

  2026cites this paper
• Hierarchy of bounds in free orthotropic material optimization: From convex relaxations to Hashin-Shtrikman via sequential global programming

  2026cites this paper
• A shakedown-oriented topology optimization algorithm for bounded linear kinematic hardening materials using a two-surface model

  2026cites this paper
• Topology optimization of structures subjected to nonstationary stochastic dynamic excitation

  2026cites this paper
• Designer preference-driven topology optimization using a human-in-the-loop neural network

  2026cites this paper
• Multiscale concurrent topology optimization for large-scale assembled structures

  2026cites this paper
• Smooth topological design of design-dependent fluidic pressure-loaded continuum structures using a floating projection method

  2026cites this paper
• TopoEdit: Fast Post-Optimization Editing of Topology Optimized Structures

  2026cites this paper
• CONCEPTUAL DESIGN METHOD FOR BRIDGES COMBINING TOPOLOGY OPTIMIZATION AND DEEP GENERATIVE MODEL

  2026cites this paper
• Design of bi-continuous structural battery electrolyte using a virtual temperature constrained topology optimization

  2026cites this paper
• Robotic End-Effectors for Manufacturing: Recent Developments and Future Research Challenges

  2026cites this paper
• Optimal design of phase-change material composite structures for compact thermal energy storage

  2026cites this paper
• Performance characteristics of a novel topology-optimized oscillating heat pipe heat spreader for cooling multi-heat source electronics/power electronics

  2026cites this paper
• A structural additive optimization method and its application in vibration reduction of helicopter rotor systems

  2026cites this paper
• Extended discrete material optimization: A generalized framework for multi-material topology optimization of nonlinear material constitutive models

  2026cites this paper
• A modal performance-driven topology optimization framework for structural vibration avoidance

  2026cites this paper
• Topology Optimization-Based Lightweight Structural Design of a Spring-Driven Net Ejection Mechanism for ADR Applications

  2026cites this paper
• Investigation on the Improvement of Geogrid Performance Based on Topology Optimization of Aperture Shape

  2026cites this paper
• Topology optimization considering visibility based on a fictitious physical model

  2026cites this paper
• Feature-driven concurrent optimization of composite topology and fiber orientation

  2026cites this paper
• Design of a 3D printed wheelchair cushion for offloading using functionally graded materials and novel FEM topology optimization

  2026cites this paper
• Topology optimization of pentamode metamaterials for underwater acoustics

  2026cites this paper
• Optimizing membrane–substrate buckling to control surface deformation pattern

  2026cites this paper
• Topology optimization of heat conduction based on U-ResNet neural network

  2026cites this paper
• NURBS-based isogeometric topology optimization for steady Navier–Stokes flow

  2026cites this paper
• OpenTM: An open-source, single-GPU, large-scale thermal microstructure design framework

  2026cites this paper
• A multiscale topology optimization design framework with data driven surrogate model

  2026cites this paper
• Topology optimization of multi-cracked structures with an adaptive penalty strategy for stress intensity factors

  2026cites this paper
• Multi-objective topological structure design using a modified adaptive weighted sum method

  2026cites this paper
• A parametric study on topology optimization of additively manufactured clay materials

  2026cites this paper
• Real-time generalizable structural topology generation via fourier and latent modulated neural networks informed by few prior designs

  2026cites this paper
• Co-design of structures via generalized evolution

  2026cites this paper
• Design of microstructures with maximum permeability using FFT-based homogenization method

  2026cites this paper
• A novel data compression method for GPU accelerated large-scale isogeometric topology optimization with order-ascending strategy

  2026cites this paper
• Topology Optimization of a 10 T, 52 cm bore stellarator magnet structure

  2026cites this paper
• A continuous topology optimization framework using an explicit binarization constraint

  2026cites this paper
• Topology optimization concerning the mass distribution via filtered gradient flows on the Wasserstein space

  2026cites this paper
• Smooth geometry extraction from SIMP topology optimization: Signed distance function approach with volume preservation

  2026cites this paper
• Smoothed nodal density based structural topology optimization with B-spline-based material interpolation

  2026influential citation
• Comprehensive additive manufacturing cost reduction through simultaneous topology and build orientation optimization

  2026cites this paper
• Reduced-order initialization model for accelerating topology optimization in thermal-fluid system

  2026cites this paper
• Topology optimization for transient thermomechanical coupling periodic structures based on material-field series expansion method

  2026cites this paper
• A latent space approach to multi-material topology optimization

  2026cites this paper
• An Integrated Bi-directional Computing Framework for Composite Design Based on Self-Consistent Clustering Analysis and Conditional Generative Adversarial Network (SCA-CGAN)

  2026cites this paper
• Shape Optimization with Ventcel Transmission Condition: Application to the Design of a Heat Exchanger

  2026cites this paper
• Multi-Objective Topological Optimization of 3D Multi-Material Structures Using the SESO Method with FORM

  2026cites this paper
• A novel skeleton structure using topology optimization design for automobile rear subframe

  2026cites this paper
• A novel reliability-oriented concurrent topology optimization framework based on improved sequential decoupling and interval-modeled boundary modification strategies

  2026cites this paper
• Additive manufacturing-oriented optimisation of single-sided repairs for load-bearing capacity of edge-cracked plates

  2026cites this paper
• Multi-objective time-domain adjoint via temporal convolution for band-selective electromagnetic topology optimization

  2026cites this paper
• Topology optimization of plate heat exchangers via geometry projection

  2026cites this paper
• Intelligent lightweight design of bolted spherical joints in spatial grid structures based on topology optimization with 3D-LSGAN predictor

  2026cites this paper
• Topology optimization-guided metal integration in fiber-reinforced polymer composites for enhanced resilience and reparability in structural connections

  2026cites this paper
• A differential equation-driven update strategy for density-based topology optimization: implementation with MATLAB codes

  2026cites this paper
• Integrated topology and nonlinear energy dissipation devices optimization of multi-story buildings under stochastic seismic excitation

  2026cites this paper
• A geometry projection method for reliability-based topology optimization with dimensional and positional variability

  2026cites this paper
• Element-based connectivity approach for topology optimization of rib layout design

  2026cites this paper
• Continuation methods for higher-order topology optimization

  2026cites this paper
• Nonlinear topology optimization design of compliant mechanisms with tailored input/output stiffness

  2026cites this paper
• A peridynamics-based topology optimization framework for enhancing dynamic fracture resistance

  2026cites this paper
• Non-iterative method for reliability-based topology optimization of static and dynamic problems with uncertain-but-bounded parameters

  2026cites this paper
• Minimization of structural dynamic compliance in 3d multi-component systems through topology optimization

  2026cites this paper
• Enhancement of condensate droplet departure on topology optimization surfaces

  2026cites this paper
• Topology optimization-enabled destructive interference metastructure design for flexural wave manipulation

  2026cites this paper
• Multi-objective topology optimization of conjugate heat transfer in bi-fluid heat exchanger

  2026cites this paper
• A machine learning-aided robust topology optimization method for the design of auxetic metamaterials

  2026cites this paper
• Multi-material discrete variable topology optimization by order-independent random discrete steepest descent algorithm considering poor or conflicting material selections

  2026cites this paper
• Parallel topology optimization introducing enclosed cavity manufacturing constraints based on graph search algorithms

  2026cites this paper
• High stable auxetic metamaterials developed through feature-control topology optimization and additive manufacturing

  2025cites this paper
• Evolutionary topology optimization applied to a system with fluid-structure interaction via maximization of the natural frequency

  2025cites this paper
• Automatic translation of stress skeletons via Laplacian-based contraction

  2025cites this paper
• BRANCHING GENERATIVE DESIGN TO CODIFY TOPOLOGY-OPTIMIZED HEAT CONDUCTION STRUCTURES

  2025cites this paper
• Hybrid method of SIMP and SAIP for reliability-based topology optimization considering strength failure under load uncertainty

  2025cites this paper
• Multi-Material Structures Topology Optimization for Thin-Walled Tube Used by Vehicles Under Static Load: A Review

  2025cites this paper
• Bi-directional evolutionary topology optimization of geometrically nonlinear 3D continuum structures with an additional displacement constraint

  2025cites this paper
• Study of microchannel heat transfer characteristics based on topology optimization

  2025cites this paper
• Two-Phase Approach for Fast Topology Optimization of Multi-Resonant MEMS Involving Model Order Reduction

  2025cites this paper
• Multi-material isogeometric topology optimization for thermoelastic metamaterials

  2025cites this paper
• Design of thermal meta-structures made of functionally graded materials using isogeometric density-based topology optimization

  2025cites this paper
• Multi-scale multi-material concurrent topology optimization of graded cellular structures

  2025cites this paper
• Topology optimization of compatible thermal microstructures

  2025cites this paper
• A high-resolution optimization method for large-scale structural design considering multiple sub-region volume constraints

  2025cites this paper
• Orthotropic Constitutive Modeling and Tsai–Wu Failure Criterion for Carbon Fiber-Reinforced PEEK Composites

  2025cites this paper
• A structural design method based on topology optimization and approximate model for the pressure hull of underwater gliders

  2025cites this paper
• Residual stress-constrained space–time topology optimization for multi-axis additive manufacturing

  2025cites this paper
• Adjoint Sensitivities for the Optimization of Nonlinear Structural Dynamics via Spectral Submanifolds

  2025cites this paper
• Lattice materials with topological states optimized on demand.

  2025cites this paper
• Seismic Behavior of a Timber Structure Based on a Soft-Kill BESO Optimization Algorithm

  2025cites this paper
• The Lagrangian-Eulerian described Particle Flow Topology Optimization (PFTO) approach with isogeometric material point method

  2025cites this paper
• Inverse design of compression-torsion mechanical metamaterials with suppressed Poisson effect under large deformation

  2025cites this paper
• Bimaterial topology optimization for Ti-6Al-4V lattice bushing design in PA6 injection molded structures

  2025cites this paper
• iBamboo: Proposing a New Digital Workflow to Enhance the Design Possibilities of Irregular Bamboo Materials—From Scanning to Discrete to Topological

  2025cites this paper
• Concurrent Optimization of Unit‐Cell Topology and Tessellating Orientation for Finite Periodic Structures

  2025cites this paper
• Layout-Enhanced Topology Optimization (LETO): A modular approach for adaptable and manufacturable designs

  2025cites this paper
• Optiworks: A human-centric framework for high-resolution topology optimization

  2025cites this paper
• Recent Advances of Auxetic Metamaterials in Smart Materials and Structural Systems

  2025cites this paper
• An improved scheme based on the variable density method for structural topology optimization

  2025cites this paper
• Multiscale topology optimization of lattice structures based on parallel multiscale computing

  2025cites this paper