Graded-material design based on phase-field and topology optimization

被引：0
作者：
Massimo Carraturo
Elisabetta Rocca
Elena Bonetti
Dietmar Hömberg
Alessandro Reali
Ferdinando Auricchio
机构：
[1] Universitá degli Studi Pavia,Dipartimento di Ingegneria Civile ed Architettura (DICAr)
[2] Technical University of Munich,Chair for Computation in Engineering
[3] Universitá degli Studi Pavia,Dipartimento di Matematica
[4] IMATI-CNR,Dipartimento di Matematica “F.Enriques”
[5] Universitá degli Studi di Milano,Department of Mathematical Sciences
[6] Weierstrass Institute for Applied Analysis and Stochastics,undefined
[7] NTNU,undefined
来源：
Computational Mechanics | 2019年 / 64卷
关键词：
Phase-field; Functionally graded material; Multi-material design; Topology optimization; Additive manufacturing;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present work we introduce a novel graded-material design based on phase-field and topology optimization. The main novelty of this work comes from the introduction of an additional phase-field variable in the classical single-material phase-field topology optimization algorithm. This new variable is used to grade the material properties in a continuous fashion. Two different numerical examples are discussed, in both of them, we perform sensitivity studies to asses the effects of different model parameters onto the resulting structure. From the presented results we can observe that the proposed algorithm adds additional freedom in the design, exploiting the higher flexibility coming from additive manufacturing technology.
引用
收藏
页码：1589 / 1600
页数：11
相关论文
共 88 条
  • [1] Bendsøe MP(1988)Generating optimal topologies in structural design using a homogenization method Comput Methods Appl Mech Eng 71 197-224
  • [2] Kikuchi N(1983)On obtaining a solution to optimization problems for solid, elastic plates by restriction of the design space J Struct Mech 11 501-521
  • [3] Bendsøe MP(1998)Numerical instabilities in topology optimization: a survey on procedures dealing with cheackboards, mesh-dependencies and local minima Struct Optim 16 68-75
  • [4] Sigmund O(2004)Topology optimization and optimal shape design using homogenization Struct Multidiscip Optim 28 87-98
  • [5] Petersson J(1991)A homogenization method for shape and topology optimization Comput Methods Appl Mech Eng 93 291-318
  • [6] Allaire G(1991)The coc algorithm, part II: Topological geometry and generalized shape optimization Comput Meth Appl Mech Eng 89 197-224
  • [7] Jouve F(1999)Material interpolation schemes in topology optimization Arch Appl Mech 6 635-654
  • [8] Maillot H(2005)Topology optimization of channel flow problems Struct Multidiscip Optim 30 181-192
  • [9] Suzuki K(2010)Topology optimization for stationary fluid-structure interaction problems using a new monolithic formulation Int J. Numer Methods Eng 82 591-616
  • [10] Kikuchi N(2007)Topology optimization of acoustic-structure interaction problems using a mixed finite element formulation Int J. Numer Methods Eng 70 1049-1075
123456789