An analytical solution for a low velocity impact between a rigid sphere and a transversely isotropic strain-hardening plate supported by a rigid substrate

2011 ◽  
Vol 75 (1) ◽  
pp. 107-125 ◽  
Author(s):  
M. Shariyat ◽  
R. Ghajar ◽  
M. M. Alipour
2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Abdon Atangana ◽  
O. Aden Ahmed ◽  
Necdet Bıldık

A low velocity impact between a rigid sphere and transversely isotropic strain-hardening plate supported by a rigid substrate is generalized to the concept of noninteger derivatives order. A brief history of fractional derivatives order is presented. The fractional derivatives order adopted is in Caputo sense. The new equation is solved via the analytical technique, the Homotopy decomposition method (HDM). The technique is described and the numerical simulations are presented. Since it is very important to accurately predict the contact force and its time history, the three stages of the indentation process, including (1) the elastic indentation, (2) the plastic indentation, and (3) the elastic unloading stages, are investigated.


2020 ◽  
Vol 313 ◽  
pp. 00025
Author(s):  
Milan Žmindák ◽  
Pavol Novák ◽  
Josef Soukup ◽  
Michal Kaco

In the recent years a big focus is subjected to the response of structures subjected to out-of-plane loading such as blasts, impact, etc. not only to homogenous materials, but also to heterogeneous materials, such as composites. In the present study, low-velocity impact response of composite laminates was studied using ANSYS Workbench finite element code (FEM). The material of composite structure is orthotropic material reinforced by carbon fibers and have been taken from the Workbench material database. Plate consists of layers which are reinforced with unidirectional fibers in hexagonal and square array. Layer is considered as homogeneous transversely isotropic and layer stacking sequence is symmetrical or unsymmetrical.


2021 ◽  
Vol 149 ◽  
pp. 103799
Author(s):  
Zireen Z.A. Majeed ◽  
Nelson T.K. Lam ◽  
Emad F. Gad

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