Damage analysis and dynamic response of elasto-plastic laminated composite shallow spherical shell under low velocity impact

Abstract

a b s t r a c tBased on the elasto-plastic mechanics, the damage analysis and dynamic response of an elasto-plastic laminated composite shallow spherical shell under low velocity impact are carried out in this paper. Firstly, a yielding criterion related to spherical tensor of stress is proposed to model the mixed hardening orthotropic material, and accordingly an incremental elasto-plastic damage constitutive relation for the laminated shallow spherical shell is founded when a strain-based Hashin failure criterion is applied to assess the damage initiation and propagation. Secondly, using the presented constitutive relations and the classical nonlinear shell theory, a series of incremental nonlinear motion equations of orthotropic moderately thick laminated shallow spherical shell are obtained. The questions are solved by using the orthogonal collocation point method, Newmark method and iterative method synthetically. Finally, a modified elasto-plastic contact law is developed to determine the normal contact force and the effect of damage, geometrical parameters, elasto-plastic contact and boundary conditions on the contact force and the dynamic response of the structure under low velocity impact are investigated.

Geometry of escape and transition dynamics in the presence of dissipative and gyroscopic forces in two degree of freedom systems

“…Curved structures, like arches/buckled beams [37,38], shells [39] and domes [40,41], have many engineering applications. This type of structures can withstand larger transverse loading mainly through membrane stresses compared to flat structures mainly through bending moments.…”

A Review on Exploring the Behavior of Multi-Layer Composite Structures Under Dynamic Loading

“…Moreover, Xiong et al [13] explored the behavior of carbon fiber composite two layer panel with pyramidal truss cores under quasi static compression and low velocity impact loading. Again, Kazanci and Mecitoglu [14] investigated the nonlinear dynamic response of composite plates under blast loading condition.…”

“…In addition, the impact tests were carried out by Park et al [11] using impact testing machine and scanning acoustic microscope was utilized to determine the impact damages. Besides, Xiong et al [13] carried out low velocity impact test with the help of a guided drop weight test rig with adjustable rebound catchers. Moreover, Salami et al [20] used drop hammer impact testing machine to apply impact loads on composite panels and measure the top core deformation, deflection of composite panels and contact forces.…”

“…Materials with high tensile and compressive strength as well as high in plane shear strength and Young's modulus are preferable as the top facesheet layer of multi-layer composite systems. Xiong et al [13] explored the behavior of carbon fiber composite two layer panel with pyramidal truss cores under quasi static compression and low velocity impact loading. Xiong et al [13] studied load displacement response in the both layer of the composite panels.…”

“…Xiong et al [13] explored the behavior of carbon fiber composite two layer panel with pyramidal truss cores under quasi static compression and low velocity impact loading. Xiong et al [13] studied load displacement response in the both layer of the composite panels. It was observed from the study that the proposed composite structure had better energy absorption capacity in compare to glass fiber woven textile truss core.…”