Shahrood University of Technology Journal of Solid and Fluid Mechanics 2251-9475 6 3 2016 09 22 Non-linear finite element low-velocity impact response analysis of a viscoelastic composite plate, employing a layerwise theory Non-linear finite element low-velocity impact response analysis of a viscoelastic composite plate, employing a layerwise theory 97 108 822 10.22044/jsfm.2016.822 FA M.H. Pachenari A. Mozaffari M. Shariyat Journal Article 2016 04 10 In the present paper, dynamic behavior of a multilayer composite plate with viscoelastic structural damping is investigated against a low-velocity impact by a spherical indenter. Hertz contact law is refined to include effect of the lower layers on the stiffness of the contact region and used in a non-linear form. Voltra hierarchical integral is employed for modeling the viscoelastic material and the layerwise theory and non-linear strain-displacement relations are used to model the plate more accurately. To solve the governing integro-differential equations, a combination of the finite element method, trapezoidal integration method for the Volterra integrals, and the Newmark numerical time integration method is used. In the results section, effects of the various viscoelasticity parameters and the indenter velocity on the time histories of the contact force, indentation, and lateral deflection of the plate are investigated. Results show that due to the damping nature of the viscoelastic materials, the plate rigidity and contact force increase whereas the maximum lateral deflection and the indentation decrease. Furthermore, higher contact forces do not necessarily indicates higher indentations. In the present paper, dynamic behavior of a multilayer composite plate with viscoelastic structural damping is investigated against a low-velocity impact by a spherical indenter. Hertz contact law is refined to include effect of the lower layers on the stiffness of the contact region and used in a non-linear form. Voltra hierarchical integral is employed for modeling the viscoelastic material and the layerwise theory and non-linear strain-displacement relations are used to model the plate more accurately. To solve the governing integro-differential equations, a combination of the finite element method, trapezoidal integration method for the Volterra integrals, and the Newmark numerical time integration method is used. In the results section, effects of the various viscoelasticity parameters and the indenter velocity on the time histories of the contact force, indentation, and lateral deflection of the plate are investigated. Results show that due to the damping nature of the viscoelastic materials, the plate rigidity and contact force increase whereas the maximum lateral deflection and the indentation decrease. Furthermore, higher contact forces do not necessarily indicates higher indentations. https://jsfm.shahroodut.ac.ir/article_822_1c1e8dced775176d039e6e401ef36df2.pdf