Dissertation > Excellent graduate degree dissertation topics show

A Singular Integral Equation Method for the Branch Crack Problem in Antiplane Elasticity

Author: WangFei
Tutor: ChenYiZhou;WangZhongXian
School: Jiangsu University
Course: Solid Mechanics
Keywords: Crack bifurcation Multiple cracks Periodic Cracks Anti- plane elasticity Dislocation Singular integral equation Stress intensity factor
CLC: O346.1
Type: Master's thesis
Year: 2005
Downloads: 114
Quote: 0
Read: Download Dissertation

Abstract


In this paper, on the basis of previous studies , the use of complex function of knowledge and singular integral equations method , systematic study of anti- plane linear elastic branch crack problems and related numerical solution . This paper studied the infinite region where there is a single branch crack the case . Singular equation approach in the use of theoretical derivation , the use of the improvement over the integration scheme . Used to simulate the branch crack dislocations , the dislocations will focus placed on the bifurcation point , the distribution of dislocations are arranged at the crack of the branch. According to the boundary conditions established in order to concentrate the strength and continuous dislocation dislocation density of unknown function singular integral equations . And, by the displacement condition is a single value constraint equations . Numerical calculations, in the various branches of semi- open type of numerical integration formulas will be simplified as singular integral equations to solve algebraic equations , has been focused intensity dislocations and dislocation density functions of discrete values ??. And then come to work on the various branches of great concern to tip stress intensity factor values. In a single branch crack , based on the results of further anti- infinite plane elastic case , there are two large areas and periodic bifurcation branch crack crack answers. Quantitative analysis of the interaction between the crack and interact . Bifurcation in the periodic crack problem for numerical calculation of infinite series summation made ??effective approximation . This work was done using the method of singular integral equations and further study of anti-plane crack problem of providing a foundation. Programming with Fortran program very easy to implement the proposed numerical method . Accurate comparison of the results obtained . The paper also gives a number of examples , the numerical results and charts Sim can also be directly used in engineering practice .

Related Dissertations

  1. The Dislocation Research on Position of the Mainstream Media and the Network of Public Opinion in the Public Event,G206
  2. Preliminary Effects of Clavicular Hook Plate Technique on Treating Acromioclavicular Joint Dislocation,R687.3
  3. Molecular Dynamics Simulations of Temperature Effects on Pt/Au Heteroepitaxial Growth,O484.1
  4. Molecular Dynamics Simulations of Structural Relaxation of Two-dimensional Lattice Mismatch Epitaxial Aluminum Thin Film,O484.1
  5. Experimental Study on Femoral Neck-shaft Projectional Angle Measured by X-ray Estimates Femoral Neck Anteversion and Its Clinical Application,R816.8
  6. Study on the Hot Deformation Behaviour and Microstructure of GH600,TG132.32
  7. Numerical and Experimental Studies for Multi-Cracks of Asphalt Pavement with Semi-Rigid Basement Asphalt,U416.217
  8. Surgical Treatment for Fracture and Dislocation of Lower Cervical Spine of the Clinical Study,R687.3
  9. Weight function based on ANSYS thermal analysis system development technology research,TH123.4
  10. Cracks in asphalt pavement structure with finite element analysis,U416.217
  11. Research on Cement Concrete Overlay Stress Analysis and Cracking Prediction in the Rubblization of Old Cement Concrete Pavement,U416.216
  12. Research on Durability Evaluation Method of Cement Concrete Pavement,U416.216
  13. Study on Top-Down Crack Formation Mechanism and Propagation Law Near Load Area of Asphalt Pavement,U416.217
  14. Clinical Research on the Combined Surgical Operation with Osteotomy Around Acetabulum Treating the Older Developmental Dislocation of the Hip,R726.8
  15. Clinical Research on the Modified Treatment of Pemberton Surgical Operation of the Developmental Dislocation of the Hip,R726.8
  16. Clinical study of arthroscopic monitoring reconstruction Schenck Ⅲ M -type multiple ligament injury,R687.2
  17. Cofilin Signaling Pathway in the Absence of Fracture and Dislocation of Cervical Spinal Cord Injury Research,R651.2
  18. Research on Vibration Fatigue of Stiffened Aluminum Alloy Panel,O346.1
  19. High Speed Steel Roll Finite Element Analysis of Fracture,O346.1
  20. 14MnNbq weldment stress intensity factor and fatigue crack growth,O346.1
  21. Wetland Park Deep Ecological Value Construction,X37

CLC: > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Strength theory > Fracture theory
© 2012 www.DissertationTopic.Net  Mobile