Local integral equation method for viscoelastic Reissner–Mindlin plates

2007 ◽  
Vol 41 (6) ◽  
pp. 759-768 ◽  
Author(s):  
J. Sladek ◽  
V. Sladek ◽  
Ch. Zhang
Keyword(s):  
Integral Equation ◽  
Integral Equation Method ◽  
Equation Method ◽  
Local Integral

scholarly journals Analysis of thick functionally graded plates by local integral equation method

2006 ◽  
Vol 23 (8) ◽  
pp. 733-754 ◽  
Author(s):  
J. Sladek ◽  
V. Sladek ◽  
Ch. Hellmich ◽  
J. Eberhardsteiner
Keyword(s):  
Integral Equation ◽  
Integral Equation Method ◽  
Functionally Graded ◽  
Equation Method ◽  
Functionally Graded Plates ◽  
Local Integral

Meshless Local Integral Equation Method with Analytical Formulation and its Application to Computational Fracture Mechanics

2011 ◽  
Vol 488-489 ◽  
pp. 791-794
Author(s):  
Pi Hua Wen ◽  
M.H. Aliabadi
Keyword(s):  
Integral Equation ◽  
Fracture Mechanics ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Equation Method ◽  
Special Treatment ◽  
Opening Displacement ◽  
Local Boundary ◽  
Local Boundary Integral Equation ◽  
Local Integral

In this paper, the exact forms of integrals in the meshless local boundary integral equation method are presented and applications were demonstrated for fracture mechanics. A weak form for a set of governing equations with a unit test function or polynomial test functions is transformed into local integral equations. Each node has its own support domain and is surrounded by a local integral domain with different shapes of boundaries. The meshless approximation based on the Radial Basis Function (RBF) is employed for the implementation of displacements. For cracked plate, opening displacement on the crack surface can be obtained with satisfactory accuracy without special treatment for stresses singularities at crack tip.

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