TY - JOUR
T1 - Efficient multi-material continuum topology optimization considering hyperelasticity
T2 - Achieving local feature control through regional constraints
AU - Zhang, Xiaojia Shelly
AU - Chi, Heng
N1 - Funding Information:
The author X. S. Zhang would like to acknowledge the financial support from the University of Illinois at Urbana-Champaign. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the view of the sponsoring agencies.
Publisher Copyright:
© 2020 Elsevier Ltd
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/4
Y1 - 2020/4
N2 - We introduce a general and efficient multi-material topology optimization framework considering hyperelasticity with many local constraints, which enables flexible control of the design's local features. The proposed framework can effectively distribute multiple candidate materials described by distinct constitutive models according to their respective nonlinear behaviors, and efficiently handle a flexible setting of volume constraints, either global or local. To ensure computational efficiency of the proposed framework, we present a virtual element-based formulation in conjunction with a tailored adaptive refinement and coarsening scheme for multi-material problems, and we adopt the ZPR scheme to update the design variables associated with each constraint in parallel. Three design examples are presented, demonstrating the efficiency and effectiveness of the proposed framework in distributing multiple candidate materials with distinct nonlinear elastic behaviors and handling both global and many (e.g., 1024) local constraints. We envision that the proposed framework enables unique computational capabilities for designing next-generation composite metamaterials and structures with nonlinear behaviors and multi-functionalities.
AB - We introduce a general and efficient multi-material topology optimization framework considering hyperelasticity with many local constraints, which enables flexible control of the design's local features. The proposed framework can effectively distribute multiple candidate materials described by distinct constitutive models according to their respective nonlinear behaviors, and efficiently handle a flexible setting of volume constraints, either global or local. To ensure computational efficiency of the proposed framework, we present a virtual element-based formulation in conjunction with a tailored adaptive refinement and coarsening scheme for multi-material problems, and we adopt the ZPR scheme to update the design variables associated with each constraint in parallel. Three design examples are presented, demonstrating the efficiency and effectiveness of the proposed framework in distributing multiple candidate materials with distinct nonlinear elastic behaviors and handling both global and many (e.g., 1024) local constraints. We envision that the proposed framework enables unique computational capabilities for designing next-generation composite metamaterials and structures with nonlinear behaviors and multi-functionalities.
KW - Adaptive refinement and coarsening
KW - Local feature control
KW - Many local volume constraints
KW - Material nonlinearity
KW - Multi-material topology optimization
KW - Virtual element method (VEM)
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U2 - 10.1016/j.mechrescom.2020.103494
DO - 10.1016/j.mechrescom.2020.103494
M3 - Article
AN - SCOPUS:85082861494
SN - 0093-6413
VL - 105
JO - Mechanics Research Communications
JF - Mechanics Research Communications
M1 - 103494
ER -