بررسی رفتار شکست شیشه‌های سیلیسی متحرک تحت تغییرات دمایی گذرا ناشی از سیال ناهمگن پیرامونی، با استفاده از روش اجزاء محدود توسعه یافته

[1] Ronsin O., Perrin B., Dynamics of quasistatic directional crack 

      growth. Physical Review E, Vol. 58, No. 6, pp. 7878, 1998.

[2] Yang B., Ravi-Chandar K., Crack path instabilities in a quenched glass plate. Journal of the Mechanics and Physics of Solids, Vol. 49, No.1, pp. 91–130, 2001.

[3] Yazid A., Abdelkader N., Abdelmadjid H., A state-of-the-art 

      review of the X-FEM for computational fracture mechanics. 

      Applied Mathematical Modelling, Vol. 33, No. 12, pp. 4269–

      4282, 2009.

[4] Belytschko T., Black T., Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering, Vol. 45, No. 5, pp. 601–620, 1999.

[5] Dolbow J., Belytschko T., A finite element method for crack 

      growth without remeshing. International Journal for Numerical Methods in Engineering, Vol. 46, No. 1, pp.131–150, 1999.

[6] Stolarska M., Chopp D. L., Moës N., Belytschko T., Modelling 

      crack growth by level sets in the extended finite element method. International Journal for Numerical Methods in Engineering, Vol. 51, No. 8, pp. 943–960, 2001.

[7] Bordas S., Extended finite element and level set methods with

      applications to growth of cracks and biofilms, PhD Thesis, 

      Northwestern University, 2003.

[8] Osher S., Sethian J. A., Fronts propagating with curvature-

      dependent speed: algorithms based on Hamilton-Jacobi

      formulations. Journal of Computational Physics, Vol. 79, No.1, pp.12–49, 1988.

[9] Duflot M., A study of the representation of cracks with level sets. International Journal for Numerical Methods in Engineering, Vol. 70, No. 11, pp. 1261–1302, 2007.

[10] Sukumar N., Moës N., Moran B., Belytschko T., Extended finite element method for three‐dimensional crack modelling. International Journal for Numerical Methods in Engineering, 

        Vol. 48, No. 11, pp. 1549–1570, 2000.

[11] Duflot M., The extended finite element method in thermoelastic fracture mechanic. International Journal for Numerical Methods in Engineering, Vol. 74, No. 5, pp. 827–847, 2008.

[12] Zamani A., Eslami M. R., Implementation of the extended finite element method for dynamic thermoelastic fracture initiation. International Journal of Solids and Structures, Vol. 47, No. 10, pp. 1392– 1404, 2010.

[13] Yuse A., Sano M., Transition between crack patterns in quenched glass plates. Nature, Vol. 362, No. 6418, pp. 329–331, 1993.

[14] Bouchbinder E., Hentschel H. G. E., Procaccia I., Dynamical

        instabilities of quasistatic crack propagation under thermal stress. Physical Review E, Vol. 68, No. 3, pp. 36601, 2003.

[15] Yoneyama S., Kikuta H., Moriwaki K., Simultaneous observation of phase-stepped photoelastic fringes using a pixelated

        microretarder array. Optical Engineering, Vol. 45, No. 8, pp.  

        83604, 2006.

[16] Sakaue K., Yoneyama S., Kikuta H., Takashi M., Evaluating crack tip stress field in a thin glass plate under thermal load. Engineering Fracture Mechanics, Vol. 75, No. 5, pp. 1015–1026, 2008.

[17] Pais M., Kim N. H., Davis T., Reanalysis of the extended finite 

        element method for crack initiation and propagation. In Proceedings of AIAA Structures, Structural Dynamics, and Materials Conference, 2010.

[18] Yoneyama S., Sakaue K., Experimental–numerical hybrid stress analysis for a curving crack in a thin glass plate under thermal load. Engineering Fracture Mechanics, Vol. 131, pp. 514–524, 2014.

[19] Bansal N. P., Doremus R. H., Handbook of glass properties,

        Elsevier, 2013.

[20] Westergaard H. M., Bearing pressures and cracks. Journal of

        Applied Mechanics, Vol. 61, pp. A49–A53, 1939.

[21] Williams M. L., On the Stress Distribution at the Base of a

        Stationary Crack, Journal of Applied Mechanics, Vol. 24, No. 1, pp. 109–114, 1957.

[22] Mohammadi S., XFEM fracture analysis of composites, John

        Wiley & Sons, 2012.

[23] Fleming M., Chu Y. A., Moran B., Belytschko T., Lu Y.Y., Gu L., Enriched element-free Galerkin methods for crack tip fields,

        International Journal for Numerical Methods in Engineering,

        Vol. 40, No. 8, pp. 1483–1504, 1997.

[24] Babuška I., Melenk J.  M., The partition of unity method,

        International Journal for Numerical Methods in Engineering,

        Vol. 40, No. 4, pp. 727–758, 1997.

[25] Belytschko T., Moës N., Usui S., Parimi C., Arbitrary

        discontinuities in finite elements, International Journal for

        Numerical Methods in Engineering, Vol. 50, No. 4, pp. 993–1013, 2001.

[26] Bower A. F., Applied mechanics of solids, CRC press, pp. 49-73, 2009.

[27] Hutton D. V., Wu J., Fundamentals of finite element analysis, pp. 131-285,McGraw-Hill, New York, 2004.

[28] Astley R. J., Finite elements in solids and structures, An

        introduction, pp. 102-104, Chapman & Hall (Springer), 1992.

[29] Goli E., Bayesteh H., Mohammadi S., Mixed mode fracture

        analysis of adiabatic cracks in homogeneous and non-

        homogeneous materials in the framework of partition of unity and the path-independent interaction integral, Engineering Fracture Mechanics, Vol. 131, pp. 100–127, 2014.

[30] Hetnarski R. B., Encyclopedia of Thermal Stresses, pp. 1611-1612, Springer Reference, 2014.

[31] Moaveni S., Finite element analysis: theory and application with ANSYS, pp. 445-451, Pearson Education, India, 2003.

[32] Charney J. G., Fjörtoft R., Neumann J. V., Numerical integration of the barotropic vorticity equation, Tellus A, Vol. 2, No. 4, pp. 237-254, 1950.