TY - JOUR
T1 - Multimaterial stress-constrained topology optimization with multiple distinct yield criteria
AU - Kundu, Rahul Dev
AU - Li, Weichen
AU - Zhang, Xiaojia Shelly
N1 - The authors would like to devote this paper to the Special Issue in honor of Professor Glaucio H. Paulino on the occasion of receiving the 2020 ASME Daniel C. Drucker Medal. The authors would like to acknowledge the financial supports through the U.S. National Science Foundation (NSF) EAGER grant CMMI-2127134 and NSF CAREER Award CMMI-2047692 , USA. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the view of the sponsoring agencies.
PY - 2022/7
Y1 - 2022/7
N2 - Composite structures offer unique mechanical and physical properties enabled by material heterogeneity. To harness these properties in stress-constrained topology optimization, the incorporation of multiple materials is necessary. Established studies in the field typically assume the same yield criterion for all the candidate materials while vary their stiffness and strengths. To open up the full design capability for composite structures, we propose a novel yield function interpolation scheme that allows for the simultaneous incorporation of distinct yield criteria and material strengths. Built upon this yield function interpolation scheme, we introduce a stress-constrained topology optimization formulation that handles multiple materials with distinct elastic properties, material strengths, and yield criteria simultaneously. We investigate several two-dimensional and three-dimensional design cases with the objective of minimizing the total volume subjected to stress constraints. The optimized composite designs reveal several fundamental advantages enabled by material heterogeneity, including design space enlargement, stress deconcentration effect, and exploitation of tension–compression strength asymmetry. These advantages lead to composite designs with 10−40% reduced minimized volumes as compared to single-material designs and provide new insights for the discovery of more efficient composite structures.
AB - Composite structures offer unique mechanical and physical properties enabled by material heterogeneity. To harness these properties in stress-constrained topology optimization, the incorporation of multiple materials is necessary. Established studies in the field typically assume the same yield criterion for all the candidate materials while vary their stiffness and strengths. To open up the full design capability for composite structures, we propose a novel yield function interpolation scheme that allows for the simultaneous incorporation of distinct yield criteria and material strengths. Built upon this yield function interpolation scheme, we introduce a stress-constrained topology optimization formulation that handles multiple materials with distinct elastic properties, material strengths, and yield criteria simultaneously. We investigate several two-dimensional and three-dimensional design cases with the objective of minimizing the total volume subjected to stress constraints. The optimized composite designs reveal several fundamental advantages enabled by material heterogeneity, including design space enlargement, stress deconcentration effect, and exploitation of tension–compression strength asymmetry. These advantages lead to composite designs with 10−40% reduced minimized volumes as compared to single-material designs and provide new insights for the discovery of more efficient composite structures.
KW - Multimaterial topology optimization
KW - Stress constraint
KW - Stress deconcentration
KW - Tension–compression strength asymmetry
KW - Volume minimization
KW - Yield function interpolation
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U2 - 10.1016/j.eml.2022.101716
DO - 10.1016/j.eml.2022.101716
M3 - Article
AN - SCOPUS:85131068950
SN - 2352-4316
VL - 54
JO - Extreme Mechanics Letters
JF - Extreme Mechanics Letters
M1 - 101716
ER -