Closed-form solution for shock wave propagation in density-graded cellular material under impact  

作　　者：Vijendra Gupta Addis Kidane Michael Sutton 

机构地区：[1]Department of Mechanical Engineering,University of South Carolina,300 Main Street,Columbia,SC 29208,USA

出　　处：《Theoretical & Applied Mechanics Letters》2021年第5期252-259,共8页力学快报（英文版）

基　　金：the financial support provided by the US Army Research Office under grant number W911NF-18-1-0023.

摘　　要：Density-graded cellular materials have tremendous potential in structural applications where impact resistance is required.Cellular materials subjected to high impact loading result in a compaction type deformation,usually modeled using continuum-based shock theory.The resulting governing differential equation of the shock model is nonlinear,and the density gradient further complicates the problem.Earlier studies have employed numerical methods to obtain the solution.In this study,an analytical closed-form solution is proposed to predict the response of density-graded cellular materials subjected to a rigid body impact.Solutions for the velocity of the impinging rigid body mass,energy absorption capacity of the cellular material,and the incident stress are obtained for a single shock propagation.The results obtained are in excellent agreement with the existing numerical solutions found in the literature.The proposed analytical solution can be potentially used for parametric studies and for effectively designing graded structures to mitigate impact.

关 键 词：Functionally graded cellular material Analytical modeling Impact response Closed-form solution Energy absorption Density gradient 

分 类 号：O347.3[理学—固体力学]