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Dimensionless Load—Displacement Relation and Its Application to Crack Propagation Problems
Author(s) -
Sakai Mototsugu,
Inagaki Michio
Publication year - 1989
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1989.tb06141.x
Subject(s) - dimensionless quantity , fracture mechanics , crack growth resistance curve , displacement (psychology) , crack tip opening displacement , fracture (geology) , mechanics , materials science , crack closure , nonlinear system , mathematical analysis , mathematics , composite material , physics , psychology , quantum mechanics , psychotherapist
The dimensionless load () and load‐point displacement (û) are introduced to discuss crack propagation problems. The −ũ relation for the case of equilibrium crack propagation in any linear elastic material is demonstrated to lie on a single universal fracture curve independent of the material. The concept of the universal −ũ relation is extended to yield a direct and simple form of the dimensionless total energy ( eq (α)) which is applicable to many types of instability problems for crack extension, when the shape factor ( Y ) of the specimen is known as a function of crack length ( a ). In addition, by applying the deviation of the experimentally observed —ũ curve and the theoretical universal fracture curve, the evaluation of the nonlinear fracture resistance parameter of a polycrystalline graphite material, as an example, was demonstrated.