A Hybrid ALE/Implicit Function Method for Simulating Microwave Heating with Rotating Objects of Arbitrary Shape

2021 ◽  
pp. 110551
Author(s):  
Jinghua Ye ◽  
Chong Xu ◽  
Chun Zhang ◽  
Huacheng Zhu ◽  
Kama Huang ◽  
...  
Keyword(s):  
Microwave Heating ◽  
Arbitrary Shape ◽  
Function Method ◽  
Implicit Function ◽  
Rotating Objects

scholarly journals Calculation of Stress Intensity Factors for Elliptical Cracks in Finite Bodies by Using the Boundary Weight Function Method

1999 ◽  
Vol 121 (2) ◽  
pp. 181-187 ◽  
Author(s):  
C.-C. Ma ◽  
I-K. Shen
Keyword(s):  
Stress Intensity ◽  
Weight Function ◽  
Stress Intensity Factors ◽  
Arbitrary Shape ◽  
Function Method ◽  
Weight Functions ◽  
Mode I ◽  
Intensity Factors ◽  
Weight Function Method ◽  
Arbitrary Loading

In this study, mode I stress intensity factors for a three-dimensional finite cracked body with arbitrary shape and subjected to arbitrary loading is presented by using the boundary weight function method. The weight function is a universal function for a given cracked body and can be obtained from any arbitrary loading system. A numerical finite element method for the determination of weight function relevant to cracked bodies with finite dimensions is used. Explicit boundary weight functions are successfully demonstrated by using the least-squares fitting procedure for elliptical quarter-corner crack and embedded elliptical crack in parallelepipedic finite bodies. If the stress distribution of a cut-out parallelepipedic cracked body from any arbitrary shape of cracked body subjected to arbitrary loading is determined, the mode I stress intensity factors for the cracked body can be obtained from the predetermined boundary weight functions by a simple surface integration. Comparison of the calculated results with some available solutions in the published literature confirms the efficiency and accuracy of the proposed boundary weight function method.

Implicit Function and Level Set Methods for Computation of Moving Elements During Microwave Heating

2017 ◽  
Vol 65 (12) ◽  
pp. 4773-4784 ◽  
Author(s):  
Jing-Hua Ye ◽  
Hua-Cheng Zhu ◽  
Yin-Hong Liao ◽  
Yan-Ping Zhou ◽  
Ka-Ma Huang
Keyword(s):  
Microwave Heating ◽  
Level Set ◽  
Level Set Methods ◽  
Implicit Function

scholarly journals Green's Function Method for an Axisymmetric Void Between Parallel Walls

2007 ◽  
Vol 5 (2) ◽  
Author(s):  
Gautam Sudhir Chandekar ◽  
Joseph D. Richardson ◽  
Yuri A. Melnikov ◽  
Sally J. Pardue
Keyword(s):  
Finite Element ◽  
Green’S Function ◽  
Green's Function ◽  
Arbitrary Shape ◽  
Function Method ◽  
Numerical Solutions ◽  
Numerical Implementation ◽  
Finite Element Code ◽  
Present Formulation ◽  
Function Formulation

The Green's function for potential theory is developed for an axisymmetric void of arbitrary shape located between two parallel walls. Numerical results are given to demonstrate the accuracy in the Green's function formulation by comparison with numerical solutions obtained using a commercial finite element code. The present formulation is attractive since numerical implementation only involves unknowns on the surface of the void.

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