Engineering Mechanics

Proceedings Vol. 16 (2010)

ENGINEERING MECHANICS 2010

Copyright © 2010 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Sládek J., Sládek V., Staňák P., Zhang Ch.
pages 137 - +15p., full text

Analysis of laminated plates under static and transient dynamic loading is presented by the meshless local Petrov-Galerkin (MLPG) method. ReissnerMindlin theory is used to describe the governing equations of the plate bending problem. Expressions for the bending moment and shear force are obtained by integration through the laminated plate considering constitutive equations in each lamina. A weak formulation for the set of governing equations with Heaviside step function as the test function is transformed to local integral equations on small local subdomains. The meshless approximation based on the Moving-LeastSquares (MLS) method is employed to obtain a system of ordinary differential equations of the second order for certain nodal unknowns. Houbolt finite-difference scheme is used to solve them as a time-stepping method.

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