Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces | Zendy

Stewart Silling | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces

Author(s) -

Stewart Silling

Publication year - 1998

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/1895

Subject(s) - classification of discontinuities , fracture mechanics , continuum mechanics , elasticity (physics) , peridynamics , linear elasticity , mechanics , stress wave , classical mechanics , wave propagation , dispersion relation , mathematical analysis , mathematics , physics , structural engineering , materials science , engineering , finite element method , optics , composite material

Some materials may naturally form discontinuities such as cracks as a result of deformation. As an aid to the modeling of such materials, a new framework for the basic equations of continuum mechanics, called the "peridynamic" formulation, is proposed. The propagation of linear stress waves in the new theory is discussed, and wave dispersion relations are derived. Material stability and its connection with wave propagation is investigated. It is demonstrated by an example that the reformulated approach permits the solution of fracture problems using the same equations either on or off the crack surface or crack tip. This is an advantage for modeling problems in which the location of a crack is not known in advance

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research