Topology optimization for the design of acoustic metasurface incorporating acoustic-elastic coupling effect based on two-phase material model

This paper provides two separate methodologies for implementing the Voronoi Cell Finite Element Method (VCFEM) in topological optimization. Both exploit two characteristics of VCFEM. The first approach utilizes the property that a hole or inclusion can be placed in the element: the design variables for the topology optimization are sizes of the hole. In the second approach, we note that VCFEM may mesh the design domain as n sided polygons. We restrict our attention to hexagonal meshes of the domain while applying Solid Isotropic Material Penalization (SIMP) material model. Researchers have shown that hexagonal meshes are not subject to the checker boarding problem commonly associated with standard linear quad and triangle elements. We present several examples to illustrate the efficacy of the methods in compliance minimization as well as discuss the advantages and disadvantages of each method.

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A fully coupled two‐phase bone material model

PAMM ◽

10.1002/pamm.202000144 ◽

2021 ◽

Vol 20 (1) ◽

Author(s):

Mischa Blaszczyk ◽

Klaus Hackl

Keyword(s):

Material Model ◽

Two Phase ◽

Bone Material ◽

Fully Coupled

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Constitutive Modelling and Identification of Parameters of 316L Stainless Steel at Cryogenic Temperatures

Acta Mechanica et Automatica ◽

10.2478/ama-2014-0024 ◽

2014 ◽

Vol 8 (3) ◽

pp. 136-140 ◽

Cited By ~ 2

Author(s):

Maciej Ryś

Keyword(s):

Phase Transformation ◽

Nonlinear Response ◽

316L Stainless Steel ◽

Parent Phase ◽

Secondary Phase ◽

Material Model ◽

Transformation Process ◽

Constitutive Modelling ◽

Model Parameters ◽

Two Phase

Abstract In this work, a macroscopic material model for simulation two distinct dissipative phenomena taking place in FCC metals and alloys at low temperatures: plasticity and phase transformation, is presented. Plastic yielding is the main phenomenon occurring when the yield stress is reached, resulting in nonlinear response of the material during loading. The phase transformation process leads to creation of two-phase continuum, where the parent phase coexists with the inclusions of secondary phase. An identification of the model parameters, based on uniaxial tension test at very low temperature, is also proposed.

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Topology Synthesis of Two-Phase Compliant Actuators

Volume 1: 25th Design Automation Conference ◽

10.1115/detc99/dac-8553 ◽

1999 ◽

Author(s):

Ole Sigmund

Keyword(s):

Topology Optimization ◽

Material Design ◽

Optimization Method ◽

The Other ◽

Design Domain ◽

Active Materials ◽

Two Phase ◽

Thermal Actuators ◽

Compliant Actuators ◽

Topology Optimization Method

Abstract This paper describes how the topology optimization method can be used as a tool for the synthesis of two-phase compliant actuators. Two materials, one or both being active materials, are distributed in a design domain such that the work performed on an elastic workpiece is maximized. The two-material design is obtained by introducing two variables per element. One variable determines the relative density of material in the element and the other variable determines the material type. Examples demonstrate the design of thermal actuators and gripping mechanisms.

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Design of Energy Absorbing Structure Using Topology Optimization With a Multi-Material Model

Volume 2: 29th Design Automation Conference, Parts A and B ◽

10.1115/detc2003/dac-48774 ◽

2003 ◽

Author(s):

Daeyoon Jung ◽

Hae Chang Gea

Keyword(s):

Topology Optimization ◽

Strain Energy ◽

Effective Properties ◽

Service Condition ◽

Material Model ◽

Three Phase ◽

The Mean ◽

Energy Absorbing ◽

Dual Objectives ◽

Mean Compliance

To accommodate the dual objectives of many engineering applications, one to minimize the mean compliance for the stiffest structure under normal service condition and the other to maximize the strain energy for energy absorption during excessive loadings, topology optimization with a multi-material model is applied to the design of energy absorbing structure in this paper. The effective properties of the three-phase material are derived using a spherical micro-inclusion model. The dual objectives are combined in a ratio formation. Numerical examples from the proposed method are presented and discussed.

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