Title

3-D traction reconstruction method using BEM and internal strain data

Abstract

An inverse algorithm is developed in this paper to reconstruct boundary tractions from internal strains in three-dimensional elasticity using the boundary element method. The solution of this type of inverse elasticity problem in the two-dimensional case was studied by the authors. However, this study demonstrates that the previously developed solution scheme for two-dimensional problems can not be directly used to solve three-dimensional problems because the numerical instability problem is more severe for three-dimensional case than for two-dimensional case. In this study, the unknown traction is represented by a polynomial which is independent of the boundary element mesh. The introduction of the polynomial approximation has the combined effect of enforcing smoothing conditions and reducing the number of unknowns. Further, global equilibrium conditions are also enforced to reduce the error in the computed tractions. As a result, stable solutions are obtained even for input strains with significant amount of random errors. Several numerical examples are given to validate the proposed inverse algorithm.

Publication Date

1-1-1997

Publication Title

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volume

3

Number of Pages

1873-1883

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

Socpus ID

0030681717 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0030681717

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