A boundary element formulation for the solution of the ill-posed problem of contact stress reconstruction

Conference · Wed Nov 01 04:00:00 EST 1995

OSTI ID:122566

Bezerra, L M ^[1]

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1. Comissao Nacional de Energia Nuclear-IPEN/SP, Sao Paulo (Brazil)

The state of deformation, strain, and stress within a body may be determined only when a sufficient set of boundary conditions (displacement and traction) is defined. Sometimes, the complete set of boundary tractions may not be available as in the case of contact regions between two bodies. The solution of the Ill-Posed Problem of Contact Stress Reconstruction (IPP of CSR), despite its numerous physical applications, has received scant attention in the literature so far. Techniques for the solution of such problems, for example, may be employed in characterizing boundary tractions at inaccessible regions of critical components in sensitive mechanical equipment or to determine tractions in physical truncations needed in partial mesh discretization of a body. The numerical solution of the IPP of CSR simulates the exploitation of a combination of experimental and numerical techniques in a complementary fashion. This paper presents a boundary element formulation with explicit calculation of the sensitivities in an optimization framework for the solution of the IPP of CSR from measurements located at discrete locations of a solid. The magnitude, location, and extent of the contact stresses are defined in terms of load and geometric parameters.

• OSTI ID: 122566
• Report Number(s): CONF-950740--; ISBN 0-7918-1349-5
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
BOUNDARY CONDITIONS
BOUNDARY ELEMENT METHOD
EQUIPMENT
JUNCTIONS
MECHANICAL STRUCTURES
NONLINEAR PROBLEMS
STRESS ANALYSIS