Analytically extending the finite element method to the complex domain provides a means to determine accurately the weight function of a crack in a twodimensional object of any specific shape. When the imaginary part of a two dimensional finite element model's nodal coordinates represents a small opening mode increase of a modeled crack's length, the openingmode weight function for that crack may be determined directly from the solution's complex displacements and complex strain energy calculation. The accuracy of this novel method is limited only by the fidelity of the finite element mesh used to model the object.
|Commitee:||Bagley, Ron, Foster, John|
|School:||The University of Texas at San Antonio|
|Department:||Mechanical Engineering & Biomechanics|
|School Location:||United States -- Texas|
|Source:||MAI 51/02M(E), Masters Abstracts International|
|Subjects:||Applied Mathematics, Mechanical engineering|
|Keywords:||Complex, Finite element, Fracture, Numerical differentiation, WCTSE, Weight function|
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