Large Deformations Near the Tips of an Interface-Crack between Two Neo-Hookean Sheets

Abstract

This paper contains an asymptotic investigation - within the nonlinear theory of elastostatic plane stress - of the deformations and stresses near the tips of a traction-free interface-crack between two dissimilar semi- infinite Neo-Hookean sheets. The results obtained are free of oscillatory singularities of the kind predicted by the linearized theory, which would require the two deformed faces of an interface-crack to overlap in the vicinity of its tips. Instead, the crack is found to open smoothly near its ends, regardless of the specific loading at infinity.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA106147

Entities

People

  • Eli Sternberg
  • J. K. Knowles

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Boundary Value Problems
  • Crack Tips
  • Differential Equations
  • Eigenvalues
  • Equations
  • Materials
  • Mechanics
  • Military Research
  • Near Field
  • Security
  • Step Functions
  • Stiffness
  • Three Dimensional
  • Traction
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Marine Propulsion Engineering and Naval Architecture
  • Structural Health Monitoring of Composite Structures.