Stress near apex of dissimilar material with bilinear behavior

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This study presents an analytical solution for the asymptotic stress field near the apex of a wedge composed of dissimilar materials exhibiting elastic and/or plastic deformation that can be described by a bilinear material model. Under the same assumptions, previous investigations resulted in eigenvalue differential equations that were not amenable to analytical integration. The present formulation avoids the numerical integration of such equations. After establishing its validity, the corner of the junction formed between a solder ball and a substrate was considered in order the study the effect of the hardening parameter on the strength of the singular stress field. Also, this formulation provides the exact form of the displacement field, which permits the construction of a global element to capture the correct strength of the singular stress field in regions with material and geometric discontinuities.

Original languageEnglish (US)
Pages (from-to)203-212
Number of pages10
JournalTheoretical and Applied Fracture Mechanics
Volume31
Issue number3
StatePublished - Jun 1999

Fingerprint

Dissimilar materials
Apex
Stress Field
stress distribution
apexes
Analytical Integration
formulations
Formulation
Elastic Material
Plastic Deformation
solders
Hardening
Wedge
numerical integration
hardening
Soldering alloys
wedges
Numerical integration
plastic deformation
balls

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Stress near apex of dissimilar material with bilinear behavior. / Savruk, M. P.; Shkarayev, Sergey V; Madenci, Erdogan.

In: Theoretical and Applied Fracture Mechanics, Vol. 31, No. 3, 06.1999, p. 203-212.

Research output: Contribution to journalArticle

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