Fracture under complex stress ? The angled crack problem

Author(s):  
J.G. Williams ◽  
P.D. Ewing
Keyword(s):  
2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Chenmeng Ji ◽  
Chengzhi Qi

Evaluation of the shape and size of the fracture process zone near the mode I dynamic crack tip is still a problem unsolved completely at present. The research on the relationship between the fracture process zone and crack velocity near the mode I dynamic crack tip is quite limited, and some researchers have also developed experimental methods or numerical methods. In this research, based on the theory of elastodynamics and the complex stress function method, an approximate method for solving the mode I dynamic crack problem was proposed. The fracture process zone near the mode I dynamic crack tip was analyzed. The results showed that the areas of the fracture process zone determined based on the approximate method are nearly the same as the results obtained based on the well-known stress fields. The approximate method could provide a good reference for determining the fracture process zone near the mode I dynamic crack tip since no analytic methods had been found for evaluating the fracture process zone near the dynamic crack tip to the authors’ knowledge.


1995 ◽  
Vol 62 (2) ◽  
pp. 535-537 ◽  
Author(s):  
M. A. Kattis ◽  
S. A. Meguid

The thermoelastic problem of an infinite elastic plane containing a partly bonded circular inhomogeneity of different thermomechanical properties is considered. Based upon the solution of a perfectly bonded inhomogeneity established in the current work, the complex stress intensity factor of the interfacial crack problem is obtained for full heat-conductive conditions of an “open” crack and for a linear temperature change at infinity.


1984 ◽  
Vol 26 (4) ◽  
pp. 346-351 ◽  
Author(s):  
J. G. Williams ◽  
P. D. Ewing
Keyword(s):  

1992 ◽  
Author(s):  
R. Mahajan ◽  
F. Erdogan ◽  
Y. T. Chou
Keyword(s):  

2016 ◽  
Vol 683 ◽  
pp. 619-633 ◽  
Author(s):  
Wei Wu ◽  
Chih-Pin Chuang ◽  
Dongxiao Qiao ◽  
Yang Ren ◽  
Ke An

2020 ◽  
Vol 10 (1) ◽  
pp. 276-282
Author(s):  
Robert V. Namm ◽  
Georgiy I. Tsoy

AbstractWe consider an equilibrium problem for an elastic body with a crack, on the faces of which unilateral non-penetration conditions and Coulomb friction are realized. This problem can be formulated as quasi-variational inequality. To solve it, the successive approximation method is applied. On each outer step of this method, we solve an auxiliary problem with given friction. We solve the auxiliary problem by using modified Lagrange functionals. Numerical results are presented.


Life ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 229
Author(s):  
Eric Sah ◽  
Sudarshan Krishnamurthy ◽  
Mohamed Y. Ahmidouch ◽  
Gregory J. Gillispie ◽  
Carol Milligan ◽  
...  

In 1960, Rita Levi-Montalcini and Barbara Booker made an observation that transformed neuroscience: as neurons mature, they become apoptosis resistant. The following year Leonard Hayflick and Paul Moorhead described a stable replicative arrest of cells in vitro, termed “senescence”. For nearly 60 years, the cell biology fields of neuroscience and senescence ran in parallel, each separately defining phenotypes and uncovering molecular mediators to explain the 1960s observations of their founding mothers and fathers, respectively. During this time neuroscientists have consistently observed the remarkable ability of neurons to survive. Despite residing in environments of chronic inflammation and degeneration, as occurs in numerous neurodegenerative diseases, often times the neurons with highest levels of pathology resist death. Similarly, cellular senescence (hereon referred to simply as “senescence”) now is recognized as a complex stress response that culminates with a change in cell fate. Instead of reacting to cellular/DNA damage by proliferation or apoptosis, senescent cells survive in a stable cell cycle arrest. Senescent cells simultaneously contribute to chronic tissue degeneration by secreting deleterious molecules that negatively impact surrounding cells. These fields have finally collided. Neuroscientists have begun applying concepts of senescence to the brain, including post-mitotic cells. This initially presented conceptual challenges to senescence cell biologists. Nonetheless, efforts to understand senescence in the context of brain aging and neurodegenerative disease and injury emerged and are advancing the field. The present review uses pre-defined criteria to evaluate evidence for post-mitotic brain cell senescence. A closer interaction between neuro and senescent cell biologists has potential to advance both disciplines and explain fundamental questions that have plagued their fields for decades.


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