SOLUTION OF THE PROBLEM OF TWO-DIMENSIONAL THEORY OF ELASTICITY WITH THE USE OF DISCRETE-CONTINUAL FINITE ELEMENT METHOD IN THE PRESENCE OF A CRACK
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Abstract
Solution of the problem of two-dimensional theory of elasticity with the use of discrete-continual finite el-ement method in the presence of crack is under consideration in the distinctive paper. The original operational continual and discrete-continual formulations of the problem are given, an example of analysis are presented.
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References
Akimov P.A. Correct Direct Discrete-Continual Boundary Element Method of Structural Analysis. // Applied Mechanics and Materials Vols. 395-396 (2013), pp. 529-532. DOI: https://doi.org/10.4028/www.scientific.net/AMM.395-396.529
Akimov P.A., Sidorov V.N. Correct Meth-od of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equa-tions with Piecewise Constant Coefficients. // Advanced Materials Research Vols. 250-253, 2011, pp. 3652-3655. DOI: https://doi.org/10.4028/www.scientific.net/AMR.250-253.3652
Akimov P.A., Mozgaleva M.L. Method of Extended Domain and General Principles of Mesh Approximation for Boundary Prob-lems of Structural Analysis. // Applied Me-chanics and Materials, 2014, Vols. 580-583, pp. 2898-2902. DOI: https://doi.org/10.4028/www.scientific.net/AMM.580-583.2898
Akimov P.A., Mozgaleva M.L. Wavelet-based Multilevel Discrete-Continual Finite Element Method for Local Deep Beam Analysis. // Applied Mechanics and Materi-als Vols. 405-408 (2013), pp. 3165-3168. DOI: https://doi.org/10.4028/www.scientific.net/AMM.405-408.3165
Akimov P.A., Mozgaleva M.L., Mojtaba Aslami, Negrozov O.A. About Verification of Discrete-Continual Finite Element Meth-od of Structural Analysis. Part 1: Two-Dimensional Problems // Procedia Engi-neering, Vol. 91 (2014), pp. 2-7. DOI: https://doi.org/10.1016/j.proeng.2014.12.002
Akimov P.A., Mozgaleva M.L., Mojtaba Aslami, Negrozov O.A. Wavelet-Based Discrete-Continual Finite Element Method of Local Structural Analysis for Two-Dimensional Problems // Procedia Engi-neering, Vol. 91 (2014), pp.8-13. DOI: https://doi.org/10.1016/j.proeng.2014.12.003
Akimov P.A., Mozgaleva M.L., Negrozov O.A. About Verification of Discrete-Continual Finite Element Method for Two-Dimensional Problems of Structural Analy-sis. Part 1: Deep Beam with Constant Phys-ical and Geometrical Parameters Along Basic Direction. // Advanced Materials Re-search, Vols. 1025-1026 (2014), pp. 89-94. DOI: https://doi.org/10.4028/www.scientific.net/AMR.1025-1026.89
Akimov P.A., Mozgaleva M.L., Negrozov O.A. About Verification of Discrete-Continual Finite Element Methodfor Two-Dimensional Problems of Structural Analy-sis. Part 2: Deep Beam with Piecewise Con-stant Physical and Geometrical Parameters Along Basic Direction. // Advanced Materi-als Research, Vols. 1025-1026 (2014), pp. 95-103. DOI: https://doi.org/10.4028/www.scientific.net/AMR.1025-1026.95
Zienkiewicz O.C., Morgan K. Finite Ele-ments and Approximation. Dover Publica-tions, 2006, 352 pages.
Zienkiewicz O.C., Taylor R.L., Zhu J.Z. The Finite Element Method: Its Basis and Fundamentals. Butterworth-Heinemann, Sixth edition, 2005, 752 pages.
Zienkiewicz O.C., Taylor R.L. The Finite Element Method for Solid and Structural Mechanics. Volume 2. Butterworth-Heinemann, Sixth Edition, 2005, 736 pages.
Zolotov A.B., Akimov P.A. Semianalytical Finite Element Method for Two-dimensional and Three-dimensional Prob-lems of Structural Analysis. // Proceedings of the International Symposium LSCE 2002 organized by Polish Chapter of IASS, War-saw, Poland, 2002, pp. 431-440.
Lur'e A.I. Teorija uprugosti [Theory of Elasticity]. Moscow, Nauka, 1970, 939 pages (in Russian).