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Dr. Mohamed Ahmed Kamal Abd-El-Khalik Ahmed Soliman :: Publications:

Systematic derivation of the fundamental solutions for couple stress theory
Authors: A R El-metwaly; M A Kamal ; Y F Rashed; A S Ismail; H Nasry
Year: 2023
Keywords: Not Available
Journal: Journal of Physics: Conference Series
Volume: 2616
Issue: 1
Pages: 1-7
Publisher: IOP publishing
Local/International: Local
Paper Link:
Full paper Not Available
Supplementary materials Not Available

Classical elasticity theory failed to produce accurate results given in agreement with the experimental results. As this theory fails at stress concentration near the gaps or holes, or materials with significant microstructure contributions as soil, composite material, and polymer material generally in aerospace materials. In order to improve accuracy, the consistent couple stress theory is used. In the consistent couple stress theory, the microrotation and macro rotation are equal, where the macro rotation is half the curl of displacement, and the couple stress tensor is skew-symmetric. In this paper, the fundamental solutions for couple stress elasticity are derived in a systematic way via the Hormander technique. The used technique is characterized by its ease and also develops the Galerkin tensor used in many applications, for example, the transformation of domain integral, computing the body force in the domain without discretization. All necessary kernels for displacements and tractions are derived and given in terms of a generalized Galerkin tensor for further use.

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