%0 Journal Article %1 WOS:000255962500034 %A Vieira, Andre P %A Jr., Jose S Andrade %A Herrmann, Hans J %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2008 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW LETTERS %K imported %N 19 %R 10.1103/PhysRevLett.100.195503 %T Subcritical crack growth: The microscopic origin of Paris' law %V 100 %X We investigate the origin of Paris' law, which states that the velocity of a crack at subcritical load grows like a power law, da/dt similar to(Delta K)(m), where Delta K is the stress-intensity-factor amplitude. Starting from a damage-accumulation function proportional to (Delta sigma)(gamma), Delta sigma being the stress amplitude, we show analytically that the asymptotic exponent m can be expressed as a piecewise-linear function of the exponent gamma, namely

@article{WOS:000255962500034, abstract = {We investigate the origin of Paris' law, which states that the velocity of a crack at subcritical load grows like a power law, da/dt similar to(Delta K)(m), where Delta K is the stress-intensity-factor amplitude. Starting from a damage-accumulation function proportional to (Delta sigma)(gamma), Delta sigma being the stress amplitude, we show analytically that the asymptotic exponent m can be expressed as a piecewise-linear function of the exponent gamma, namely}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Vieira, Andre P and Jr., Jose S Andrade and Herrmann, Hans J}, biburl = {https://www.bibsonomy.org/bibtex/2d798e70dd3abb7553ebea145c4dd0a44/ppgfis_ufc_br}, doi = {10.1103/PhysRevLett.100.195503}, interhash = {f897d6caeb4b66625b683dd95433a30c}, intrahash = {d798e70dd3abb7553ebea145c4dd0a44}, issn = {0031-9007}, journal = {PHYSICAL REVIEW LETTERS}, keywords = {imported}, number = 19, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Subcritical crack growth: The microscopic origin of Paris' law}, tppubtype = {article}, volume = 100, year = 2008 }