Nonlinear transient analysis of delaminated curved composite structure under blast/pulse load

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ORIGINAL ARTICLE

Nonlinear transient analysis of delaminated curved composite structure under blast/pulse load Chetan Kumar Hirwani1 · Subrata Kumar Panda2 Received: 10 October 2018 / Accepted: 20 April 2019 © Springer-Verlag London Ltd., part of Springer Nature 2019

Abstract The nonlinear time-dependent displacement values of the curved (single/doubly) composite debonded shell structure are examined under different kinds of pulse loading in this research. The structural curved panel model is derived mathematically using the higher-order displacement theories containing the thickness stretching effect, whereas the sub-laminate approach is adopted for the inclusion of delamination between the subsequent layers. The structural geometry distortion under variable loading has been included in the current theoretical analysis through Green–Lagrange type of strain kinematics. Further, the governing differential equation order has been reduced with the help of 2D finite element formulation via the nine-noded isoparametric Lagrangian elements with variable degrees of freedom (eighty-one and ninety) for two different higher-order kinematics, respectively. The final equation of motion is solved computationally to evaluate the transient responses through an original computer code including the direct iterative technique and Newmark’s average acceleration method. The convergence criteria of the current numerical solution are established as a priori and the subsequent validity is demonstrated via comparing the current responses with available published data. Further, the comprehensive behavior of the debonded structure under the influence of the variable loads (time and area dependent) is evaluated by solving different numerical illustrations for variable geometrical configuration and described in detail. Keywords  Nonlinear deflection · Debonded composite shell panel · Blast load · Green–Lagrange strain · HSDT · Finite element analysis

1 Introduction Engineering structural components such as domes, rocket motor casings, space vehicles, nuclear reactors, submarine hulls and pressure vessels experience sonic boom/blast pressure including the variable time-dependent loading during their service life. Hence, the designer’s quest is to evolve sophisticated methodologies for the modeling and analysis of the dynamic behavior of such components including the variable load pattern to imitate the actual cases. However, the improvement of the existing methodology and * Subrata Kumar Panda [email protected]; [email protected] Chetan Kumar Hirwani [email protected] 1



Aditya Engineering College, Surampalem, Andhra Pradesh 533437, India



Department of Mechanical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha 769008, India

2

the introduction of new techniques are implemented every now and then to achieve a step closer to the exact case. The mathematical implementation of the exact profile of the time-dependent loading is not only complicated but also challenging to achieve the desired case.