Design of manufacturable 3D extremal elastic microstructure

被引：272

作者：

Andreassen, Erik ^{[1
]}

Lazarov, Boyan S. ^{[1
]}

Sigmund, Ole ^{[1
]}

机构：

[1] Tech Univ Denmark, Dept Mech Engn, Nils Koppels Alle,Bldg 404, Lyngby, Denmark

来源：

MECHANICS OF MATERIALS | 2014年 / 69卷 / 01期

关键词：

Topology optimization; Auxetic material; Microstructure; Additive manufacturing; Inverse homogenization; TOPOLOGY OPTIMIZATION; COMPOSITE-MATERIALS; BULK;

D O I：

10.1016/j.mechmat.2013.09.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a method to design manufacturable extremal elastic materials. Extremal materials can possess interesting properties such as a negative Poisson's ratio. The effective properties of the obtained microstructures are shown to be close to the theoretical limit given by mathematical bounds, and the deviations are due to the imposed manufacturing constraints. The designs are generated using topology optimization. Due to high resolution and the imposed robustness requirement they are manufacturable without any need for post-processing. This has been validated by the manufacturing of an isotropic material with a Poisson's ratio of nu = -0.5 and a bulk modulus of 0.2% times the solid base material's bulk modulus. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1 / 10

页数：10

共 33 条

[1] Parallel framework for topology optimization using the method of moving asymptotes [J].

Aage, Niels ;

Lazarov, Boyan S. .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2013, 47 (04) :493-505

[2] Efficient topology optimization in MATLAB using 88 lines of code [J].

Andreassen, Erik ;

Clausen, Anders ;

Schevenels, Mattias ;

Lazarov, Boyan S. ;

Sigmund, Ole .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2011, 43 (01) :1-16

[3]

[Anonymous], 2013, Topology optimization: theory, methods, and applications

[4] MICROGEOMETRY OF RANDOM COMPOSITES AND POROUS-MEDIA [J].

BERRYMAN, JG ;

MILTON, GW .

JOURNAL OF PHYSICS D-APPLIED PHYSICS, 1988, 21 (01) :87-94

[5]

Cadman J., 2012, J MATER SCI, V48, P1

[6] COUPLED ESTIMATES FOR THE BULK AND SHEAR MODULI OF A 2-DIMENSIONAL ISOTROPIC ELASTIC COMPOSITE [J].

CHERKAEV, AV ;

GIBIANSKY, LV .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1993, 41 (05) :937-980

[7] Parallel computing techniques applied to the simultaneous design of structure and material [J].

Coelho, Pedro G. ;

Cardoso, Joao B. ;

Fernandes, Paulo R. ;

Rodrigues, Helder C. .

ADVANCES IN ENGINEERING SOFTWARE, 2011, 42 (05) :219-227

[8] A topology optimization method for design of negative permeability metamaterials [J].

Diaz, Alejandro R. ;

Sigmund, Ole .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2010, 41 (02) :163-177

[9] Multiphase composites with extremal bulk modulus [J].

Gibiansky, LV ;

Sigmund, O .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (03) :461-498

[10] PREPROCESSING AND POSTPROCESSING FOR MATERIALS BASED ON THE HOMOGENIZATION METHOD WITH ADAPTIVE FINITE-ELEMENT METHODS [J].

GUEDES, JM ;

KIKUCHI, N .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1990, 83 (02) :143-198

← 1 2 3 4 →