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research-article

Unit Cell Synthesis for Design of Materials with Targeted Nonlinear Deformation Response

[+] Author and Article Information
Zachary Satterfield

Department of Mechanical Engineering, Clemson University, Clemson, SC 29634
zsatter@g.clemson.edu

Neehar Kulkarni

Department of Mechanical Engineering, Clemson University, Clemson, SC 29634
neehark@g.clemson.edu

Georges Fadel

Department of Mechanical Engineering, Clemson University, Clemson, SC 29634
fgeorge@clemson.edu

Gang Li

Department of Mechanical Engineering, Clemson University, Clemson, SC 29634
gli@clemson.edu

Nicole Coutris

Department of Mechanical Engineering, Clemson University, Clemson, SC 29634
coutris@clemson.edu

Matthew P. Castanier

Analytics − Computational Methods & System Behavior (CMSB) Team, US Army Tank Automotive Research, Development, and Engineering Center (TARDEC), Warren, MI 48397
matthew.p.castanier.civ@mail.mil

1Corresponding author.

ASME doi:10.1115/1.4037894 History: Received November 15, 2016; Revised August 29, 2017

Abstract

A systematic Unit Cell Synthesis approach is presented for designing meta-materials from a unit cell level which are made out of linearly elastic constitutive materials to achieve tunable non-linear deformation characteristics. This method is expected to serve as an alternative to classical Topology Optimization methods (SIMP or Homogenization) in specific cases by carrying out unit cell synthesis and subsequent size-optimization. The unit cells are developed by synthesizing elemental components with simple geometries that display geometric non-linearity under deformation. The idea is to replace the physical nonlinear behavior of the target material by adding geometric nonlinearities associated with the deforming entities and thus, achieve large over-all deformations with small linear strains in each deformed entity. A case-study is presented which uses the proposed method to design a meta-material that mimics the nonlinear deformation behavior of a military tank track rubber pad under compression. Two unit cell concepts that successfully match the non-linear target rubber compression curve are evaluated. Conclusions and scope for future work to develop the method are discussed.

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