Steady-state response of an infinite plate to an exponential edge load along a fusing crack
| Autor: | D.L. Wesenberg, L.M. Murphy |
|---|---|
| Rok vydání: | 1974 |
| Předmět: |
Materials science
Semi-infinite business.industry Mechanical Engineering Crack tip opening displacement Fracture mechanics Structural engineering Mechanics Condensed Matter Physics Crack growth resistance curve Physics::Geophysics Stress (mechanics) Condensed Matter::Materials Science Crack closure symbols.namesake Mach number Mechanics of Materials symbols General Materials Science Supersonic speed business Civil and Structural Engineering |
| Zdroj: | International Journal of Mechanical Sciences. 16:91-103 |
| ISSN: | 0020-7403 |
| DOI: | 10.1016/0020-7403(74)90079-4 |
| Popis: | The subsonic and supersonic steady-state response of an homogeneous, elastic, isotropic, infinite plate to an exponential edge load along a fusing crack is examined. This model is used to investigate phenomena associated with rapid edge-joining (welding) of metal sheets. For subsonic load propagation (subsonic edge joining), the stress normal to the axis of crack propagation varies from the imposed compressive stress on the crack surface to a tensile stress along the line of symmetry behind it. The stresses are bounded everywhere except in the area near the crack tip, where a typical crack singularity exists, until the Rayleigh speed is reached. The Rayleigh speed is thus demonstrated to be the limiting velocity for any metal-joining technique. As a further demonstration of the mathematical technique, the supersonic case is solved in which Mach lines appear at angles behind the crack, while the normal stress is again compressive on either side of the crack but changes to tensile and becomes unbounded along the Mach lines which emanate from the crack tip. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|