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Direct displacement method in crack theory (numerical resolution)

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Abstract

Solutions in crack theory can be defined directly by opening displacement v ○=v ○(x) and u ○=u ○(x) for the first and the second mode, respectively. In this case, the boundary conditions are expressed by singular integrals of the second order.

Aiming to solve numerically the problems, we apply the finite-part definition for the singular integrals and the discretization procedure.

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References

  1. Golecki JJ (1981) An elementary approach to two-dimensional elastostatic crack theory. SM Arch 6:1–29

    MATH  Google Scholar 

  2. Bureau F (1954) Divergent integrals and partial differential equations. In: Transaction of the Symposium on Computing, Mechanics, Statics and Partial Differential, The Second Symposium on Applied Mathematics, Chicago, pp 143–202

  3. Schwartz L (1966) Mathematics for the physical sciences. Hermann and Addison–Wesley, Paris

    MATH  Google Scholar 

  4. Phan-Van-Hap (1969) O primienienii metoda zamena integrala konetchnoj summoj k priblizennomu resheniju singularnych uravnenij. Vestn Mosk Univ 3:59–64 (in Russian)

    Google Scholar 

  5. Golecki JJ (1990) Applications of cracks theory for cement materials (concrete). Research Report 790-778. National Building Research Institute, Haifa, Israel, July 1990

  6. Bar-On E (1981) Fracturing around cracks. MSc thesis (under the supervision of J.J. Golecki), Technion—Israel Institute of Technology, Haifa, Israel, January 1981 (1979–1981 in progress)

  7. Golecki JJ (1993) Numerical evaluation of the finite-part singular integrals in crack theory (the linear approximation). Eng Fract Mech 46:693–700

    Article  Google Scholar 

  8. Ornai D (1999) Fracture due to crack interactions. D.Sc. Thesis (under supervision of J.J. Golecki), Technion—Israel Institute of Technology, Haifa, Israel, November 1999

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  1. Faculty of Civil Engineering, Technion—Israel Institute of Technology, Haifa, Israel

    Joseph J. Golecki

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  1. Joseph J. Golecki
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Contributed to the memory of my Mother.

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Golecki, J.J. Direct displacement method in crack theory (numerical resolution). Meccanica 42, 555–566 (2007). https://doi.org/10.1007/s11012-007-9074-6

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  • DOI: https://doi.org/10.1007/s11012-007-9074-6

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