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Inverse design of mechanical metamaterial achieving a prescribedconstitutive curve

Theoretical & Applied Mechanics Letters 2024年第1期14卷 16-22页

作者： Zongliang Du Tanghuai Bian Xiaoqiang Ren Yibo Jia Shan Tang Tianchen Cui Xu Guo State Key Laboratory of Structural Analysis Optimization and CAE Software for Industrial EquipmentDepartment of Engineering MechanicsDalian University of TechnologyDalian 116023China Ningbo Institute of Dalian University of Technology Ningbo 315016China

Besides exhibiting excellent capabilities such as energy absorption,phase-transforming metamaterials offer a vast design space for achieving nonlinear constitutive *** is facilitated by switching between different patterns under ***,the related inverse design problem is quite challenging,due to the lack of appropriate mathematical formulation and the convergence issue in the post-buckling analysis of intermediate *** this work,periodic unit cells are explicitly described by the moving morphable voids method and effectively analyzed by eliminating the degrees of freedom in void ***,by exploring the Pareto frontiers between error and cost,an inverse design formulation is proposed for unit *** formulation aims to achieve a prescribed constitutive curve and is validated through numerical examples and experimental *** design approach presented here can be extended to the inverse design of other types of mechanical metamaterials with prescribed nonlinear effective properties.

关键词： Metamaterial Pattern-transformation constitutive curve Inverse design

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Mechanical behavior of a near α titanium alloy under dynamic compression:Characterization and modeling

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Progress in Natural Science:Materials International 2019年第4期29卷 432-439页

作者： Xiaohui Shi Cong Zhao Zuhan Cao Tuanwei Zhang Zhihua Wang Junwei Qiao College of Materials Science and Engineering Taiyuan University of Technology Institute of Applied Mechanics and Biomedical Engineering Taiyuan University of Technology

Dynamic compression tests under strain rates from 870 s;to 2100 s;were conducted for a near a Ti-8Al-1Mo-1V titanium alloy with equiaxed *** behavior,adiabatic shearing and band microstructure were investigated via characterization and *** results demonstrate that all dynamic constitutive curves exhibited obvious stress fluctuation phenomenon with double increase-decrease changing stages at the primary stage of *** dislocation multiplication theory can be used to explain this *** the stress fluctuation period,work hardening coexisted with the thermal softening,resulting in the slow hardening tendency in constitutive curves.J-C model was utilized to quantify the dynamic constitutive *** deviations between the predicted and experimental curves under high strain rates may be attributed to the over-consideration of thermal softening effect in J-C *** shearing band（ASB）began to form under the strain rate of 2100 s;.A total shearing strain of 8.1 within ASB achieved in 8.9 μs,corresponding to a local strain rate of about 9.1×10;s;and is over 430 times of the macro strain *** annealing was conducted on ASB before EBSD *** to the static recrystallization during annealing,the a phase within ASB generally presented as ultra-fine grains less than 1 μm in diameter.

关键词： Dynamic compression Adiabatic shearing band constitutive curve J-C model

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