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Nonlinear dynamic behavior of a damaged laminated shell structure under time-dependent mechanical loading

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Abstract

The time-dependent displacement behavior of a curved shell panel is predicted computationally using a MATLAB code considering the variable types of mechanical loading. The computational code has been developed by a generic nonlinear mathematical model of the damaged shell structure in the framework of higher-order displacement polynomial and Green–Lagrange strain kinematics. The mathematical model and the subsequent computer code are capable of analyzing different shell configurations (cylindrical, elliptical, spherical, etc.), including the damage types, i.e., delamination, crack, and the combination of both. The finite element (FE) method is used considering a sub-laminate approach for the incorporation of separation among the layers at the mid-plane. Further, the time-dependent displacement responses are evaluated using the proposed nonlinear finite element code derived in MATLAB using Newmark’s time integration. Moreover, the direct iterative techniques have been utilized to handle the nonlinear response analysis. The FE solution convergence and its exactness has been proven by equating the outcomes presented in the published literature. The combined effect of crack and delamination, various geometrical input parameters (curvature ratio, shell geometry, and modular ratio) of the damaged structure are presented for numerous mathematical examples.

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Authors and Affiliations

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

    Vikash Kumar, Hukum Chand Dewangan & Subrata Kumar Panda

  2. School of Mechanical Engineering, KIIT (Deemed to Be University), Bhubaneswar, Odisha, 751024, India

    Nitin Sharma

  3. GRC Department, Applied College, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    S. R. Mahmoud

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  1. Vikash Kumar
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Correspondence to Subrata Kumar Panda.

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Kumar, V., Dewangan, H.C., Sharma, N. et al. Nonlinear dynamic behavior of a damaged laminated shell structure under time-dependent mechanical loading. Acta Mech 233, 4407–4425 (2022). https://doi.org/10.1007/s00707-022-03341-0

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