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Structural Engineering and Mechanics
  Volume 77, Number 6, March25 2021 , pages 765-777
DOI: https://doi.org/10.12989/sem.2021.77.6.765
 


Concerning the tensor-based flexural formulation: Applications
Mohammed A. Alhassan, Rajai Z. Al-Rousan and Moheldeen A. Hejazi

 
Abstract
    Recently, the plate bending analysis has been interpreted in terms of the tensor's components of curvatures and bending moments by presenting the conceptual perspectives of the Hydrostatic Method of Analysis (HM) and theoretical formulations that combine the continuum mechanics with the graphical statics analysis, the theory of thin orthotropic and isotropic plates, and the elasticity theory. In pursuance of uncovering a genuine formulation of the plate's flexural differential equations, that possess the general-covariance and coordinates-independency. This study had then, tackled various natural and structural problems in both solid and fluid branches of the continuum mechanics in a description of such theoretical and conceptual attainment in uncovering the dimensional independent diffeomorphism covariant partial differential laws.
 
Key Words
    hydrostatic formulation; plates flexural; application; solid; fluid
 
Address
Mohammed A. Alhassan: Al Ain University, Al Ain, United Arab Emirates; Department of Civil Engineering, Jordan University of Science and Technology, Irbid, Jordan
Rajai Z. Al-Rousan: Department of Civil Engineering, Jordan University of Science and Technology, Irbid, Jordan
Moheldeen A. Hejazi: Department of Civil Engineering, Jordan University of Science and Technology, Irbid, Jordan; Department of Civil Engineering, Istanbul Technical University, Istanbul, Turkey
 

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