Some results in topology optimization applied to biomechanics

被引:3
|
作者
Machado, G [1 ]
Trabucho, L
机构
[1] Univ Minho, Dept Math Sci & Technol, P-4800058 Guimaraes, Portugal
[2] Univ Lisbon, Dept Math, P-1649003 Lisbon, Portugal
关键词
biomechanics; bone remodelling; elasticity; homogenization theory; optimality conditions;
D O I
10.1016/j.compstruc.2004.03.034
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper presents the application of a topology optimization algorithm based in homogenization theory. Three examples in structural design will be solved numerically. The first two are formulated such that analytical solutions can also be developed. To obtain this goal, the microscopic structure that we considered is formed of laminates because for this type of composite materials there is an explicit dependence of the homogenized coefficients on the design variables. The last example regards bone remodelling. Here, where it is impossible to obtain the analytical solution, the applied algorithm produces numerical results which are in good agreement with Wolffs Law. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1389 / 1397
页数:9
相关论文
共 50 条
  • [21] Topology optimization applied to the design of linear piezoelectric motors
    Silva, ECN
    JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 2003, 14 (4-5) : 309 - 322
  • [22] Topographical global optimization applied to nuclear reactor core design: Some preliminary results
    Sacco, Wagner F.
    Henderson, Nelio
    Rios-Coelho, Ana Carolina
    ANNALS OF NUCLEAR ENERGY, 2014, 65 : 166 - 173
  • [23] Applied biomechanics of the patella
    Grelsamer, RP
    Weinstein, CH
    CLINICAL ORTHOPAEDICS AND RELATED RESEARCH, 2001, (389) : 9 - 14
  • [24] Some studies on integrating topology and shape optimization
    Sienz, J
    Hinton, E
    Bugeda, G
    Bulman, S
    INNOVATIVE COMPUTATIONAL METHODS FOR STRUCTURAL MECHANICS, 1999, : 223 - 256
  • [25] SOME RESULTS IN SET-THEORETICAL TOPOLOGY
    KHAINAL, A
    YUKHAS, I
    DOKLADY AKADEMII NAUK SSSR, 1967, 172 (03): : 541 - &
  • [26] Some results on curvature and topology of Finsler manifolds
    Wu, Bing Ye
    ANNALES POLONICI MATHEMATICI, 2013, 107 (03) : 309 - 320
  • [27] Topology optimization applied to the core of structural engineered wood product
    de Vito Jr, Artur Fernando
    Vicente, William Martins
    Xie, Yi Min
    STRUCTURES, 2023, 48 : 1567 - 1575
  • [28] Topology optimization applied to the design of actuators driven by pressure loads
    de Souza, Eduardo Moscatelli
    Silva, Emilio Carlos Nelli
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2020, 61 (05) : 1763 - 1786
  • [29] Topology optimization applied to the design of cooling channels for plastic injection
    Munoz, D. A.
    Arango, J. P.
    Gonzalez, C.
    Puerto, E.
    Garzon, M.
    FIRST MULTI-CAMPUS MEETING ON BASIC SCIENCE, 2018, 1002
  • [30] Topology optimization applied to the design of piezocomposite materials and piezoelectric actuators
    Silva, ECN
    Nishiwaki, S
    Fonseca, JSO
    Crumm, AT
    Brady, GA
    de Espinosa, FRM
    Halloran, JW
    Kikuchi, N
    SMART STRUCTURES AND MATERIALS 1998: MATHEMATICS AND CONTROL IN SMART STRUCTURES, 1998, 3323 : 216 - 227