Crack generated wave fronts

✍ Scribed by H. Cohen; S. J. Matysiak

• Book ID: 104615674
• Publisher: Springer Netherlands
• Year: 1983
• Tongue: English
• Weight: 351 KB
• Volume: 23
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00020158

✦ Synopsis

This paper considers cracks of a fixed size and shape which exist in an unbounded linear elastic body. The crack faces are assumed to suffer a sudden disturbance, which results in a shock wave emanating from the region of the crack into the body. The geometry and physics are assumed such as to give rise to problems governed by the equations of two-dimensional elastodynamics.

For a crack of finite length, two approaches are utilized to find the shape of the wave front which will propagate into a body with homogeneous material properties. For a semi-infinite crack an analogous problem is solved, but in this case for a body with nonhomogeneous cylindrically symmetric material properties. The paper concludes with a heuristic discussion of the corresponding situation within the framework of three-dimensional elastodynamics.