Crack Detection by Elastostatic Measurements

A neural network approach is proposed for the treatment of inverse problems in linear and nonlinear elastostatics. The specific application concerns the identification of a crack in an elastic body with possible unilateral contact effects. The method is tested with numerical data produced by the multiregion boundary element method.

[1]  Bethany L. Nicholson,et al.  Mathematical Programs with Equilibrium Constraints , 2021, Pyomo — Optimization Modeling in Python.

[2]  A. Mitra,et al.  Solution of Inverse Problems by Using the Boundary Element Method , 1992 .

[3]  Genki Yagawa,et al.  NEW REGULARIZATION BY TRANSFORMATION FOR NEURAL NETWORK BASED INVERSE ANALYSES AND ITS APPLICATION TO STRUCTURE IDENTIFICATION , 1996 .

[4]  Jirí V. Outrata,et al.  A numerical approach to optimization problems with variational inequality constraints , 1995, Math. Program..

[5]  Hans Günther Natke,et al.  Einführung in Theorie und Praxis der Zeitreihen- und Modalanalyse , 1983 .

[6]  Carlos Alberto Brebbia,et al.  Boundary Elements: An Introductory Course , 1989 .

[7]  G. Stavroulakis.  Optimal prestress of cracked unilateral structures: finite element analysis of an optimal control problem for variational inequalities , 1995 .

[8]  Masataka Tanaka,et al.  Identification of Defects by the Elastodynamic Boundary Element Method Using Noisy Additional Information , 1991 .

[9]  C. Brebbia,et al.  Boundary Elements IX , 1987 .

[10]  M. H. Aliabadi,et al.  Three Dimensional Flaw Identification UsingSensitivity Analysis , 1970 .

[11]  P. Panagiotopoulos.  Inequality Problems in Mechanics and Applications: Convex and Nonconvex Energy Functions , 1985 .

[12]  John S. Allen.  An Introductory Course , 1935 .

[13]  Nobuyoshi Tosaka,et al.  Unknown defect identification in elastic field by boundary element method with filtering procedure , 1995 .

[14]  James H. Garrett,et al.  Use of neural networks in detection of structural damage , 1992 .

[15]  Jaewook Rhim,et al.  A neural network approach for damage detection and identification of structures , 1995 .

[16]  Naoshi Nishimura,et al.  A boundary integral equation method for an inverse problem related to crack detection , 1991 .

[17]  G. Stavroulakis,et al.  Nondestructive elastostatic identification of unilateral cracks through BEM and neural networks , 1997 .

[18]  Genki Yagawa,et al.  Quantitative nondestructive evaluation with ultrasonic method using neural networks and computational mechanics , 1995 .