%0 Journal Article
%T Mathematical modeling of viscoelastic material under impact load
%A Md Fazlay Rabbi
%A Vijaya B Chalivendra
%J The Journal of Strain Analysis for Engineering Design
%@ 2041-3130
%D 2019
%R 10.1177/0309324719841215
%X A linear physics-based model is developed to investigate the one-dimensional impact on a viscoelastic material. A generalized model with three Maxwell elements is considered to describe the viscoelastic behavior. An analytical method based on Laplace transformation is used to solve the impact problem. To have a comprehensive understanding of viscoelastic material response, drop-weight impact is also considered in this study. For both linear impact and drop-weight cases, a maximum reduction of 15% of the impact force as well as 32% higher energy absorption can be achieved with the increase in tan ¦Ä from 0.01 to 0.8 of viscoelastic material. In addition, for linear impact, impact force decreases by 20% when tan ¦Ä£¿=£¿1. With the increase in tan ¦Ä, storage modulus decreases by around 57% for maintaining a predetermined deformation. Moreover, for almost constant maximum displacement, materials with a higher storage modulus absorb more impact energy and experience higher impact force as compared to materials with a lower storage modulus
%K Viscoelastic materials
%K impact loading
%K mathematical modeling
%K loss tangent
%K energy absorption
%K force loss
%U https://journals.sagepub.com/doi/full/10.1177/0309324719841215