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General equations in the mechanics of fracture accounting for unloaded displacement irreversibilities

✍ Scribed by Y. W. Mai; A. G. Atkins

Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
222 KB
Volume
27
Category
Article
ISSN
1573-2673

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✦ Synopsis

The most commonly found type of load-displacement diagram for quasistatic elastic fracture is shown in Fig. la (linear cases) and Fig. ib (non-linear cases) [1,2].

Unloading lines revert to the origin of displacement (which is the acid test of global elasticity), and K K~ G in c ic c linear cases may be determined from the loads at fracture, or equlvalently, the work of fracture R or J is given in both linear and non-linear cases by the segmental work area OLMO for crack advance from A 1 to A 2. Algebra applying to these well-known cases concerns equations such as

πŸ“œ SIMILAR VOLUMES

New aspects for the generalization of th
New aspects for the generalization of the Sokhotskiβ€”Plemelj formulae for the solution of finite-part singular integrals used in fracture mechanics
✍ E. G. Ladopoulos πŸ“‚ Article πŸ“… 1992 πŸ› Springer Netherlands 🌐 English βš– 445 KB

New aspects for the generalization of the Sokhotski-Plemelj formulae are investigated, in order to show the behaviour of the limiting values of the finite-part singular integrals, defined over a smooth closed or open contour. The new formulae are more complicated when some corner points are further