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Steady-state thermomechanical analysis of composite laminated plate with damage based on extended layerwise method

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Abstract

A steady-state thermomechanical analysis model is established for the composite laminated plate with transverse cracks and delaminations based on the extended layerwise method. The one-dimensional weak and strong discontinuous functions are employed to simulate the interlaminar interfaces and the delaminations, respectively, while the transverse crack is simulated in the in-plane displacement fields by using the standard extended finite element method. The temperature field in the thickness direction is obtained by using a one-dimensional steady-state heat conduction equation and constructed with the linear Lagrange interpolation functions in the thickness direction. In several numerical examples, the proposed model is verified for the laminated plates with/without transverse crack and/or delaminations against the classic laminated plate theory, first-order shear deformation theory, Reddy’s layerwise theory or three-dimensional elastic model.

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Correspondence to Dinghe Li.

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Supported by the Natural Science Foundations of China (U1933102), Natural Science Foundations of Tianjin (17JCQNJC02600), Research Funds of Tianjin Municipal Education Commission (2018KJ241) and Fundamental Research Funds for the Central Universities (3122017021).

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Li, D., Shan, W. & Zhang, F. Steady-state thermomechanical analysis of composite laminated plate with damage based on extended layerwise method. Arch Appl Mech 90, 415–435 (2020). https://doi.org/10.1007/s00419-019-01617-x

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Keywords

  • Thermomechanical analysis
  • Steady-state
  • Composite laminated plate
  • Extended layerwise method
  • Transverse cracks
  • Delaminations