The Effect of Non‐Linear Cohesive Stresses on the Stress Distributions around a Crack Tip | Zendy

Schmidt V. | Zendy; Woltersdorf J. | Zendy

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The Effect of Non‐Linear Cohesive Stresses on the Stress Distributions around a Crack Tip

Author(s) -

Schmidt V.,

Woltersdorf J.

Publication year - 1970

Publication title -

physica status solidi (b)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.51

H-Index - 109

eISSN - 1521-3951

pISSN - 0370-1972

DOI - 10.1002/pssb.19700410211

Subject(s) - linear elasticity , materials science , crack tip opening displacement , displacement (psychology) , principal stress , radius , stress (linguistics) , crack closure , mechanics , geometry , structural engineering , fracture mechanics , composite material , physics , mathematics , finite element method , engineering , shear stress , psychology , linguistics , philosophy , computer security , computer science , psychotherapist

Stresses around the tip of a Barenblatt crack are calculated. The effect of non‐linear cohesive stresses behind the crack tip is taken into account in a linear elastic crack model consisting of special arrangements of edge dislocations. The cohesive stress distribution calculated, as well as the corresponding non‐linear stress—displacement relation agree with existing qualitative expectations. Within a region of radius d (where d presumably is 6 a < d < 30 a ; a lattice constant) stresses and displacements should decrease more slowly with increasing distance as in the case of a Griffith crack. The distribution of the principal stress lines is discussed.

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