\شماره٪٪۱
Melenk, J.M. and Babu\v{s}ka, I. ``The partition of unity finite
element method: Basic theory and applications,'' {\it Comput. Methods
Appl. Mech. Eng.}, {\bf 139}1-4, pp. 289-314 (1996).
\شماره٪٪۲
Belytschko, T. and Black, T. ``Elastic crack growth in finite
elements,'' {\it Int. J. Numer. Methods Eng.}, {\bf 620} July 1998,
pp. 601-620 (1999).
\شماره٪٪۳
Mo\"{e}s, N., Dolbow, J. and Belytschko, T. ``A finite element
method for crack growth without remeshing,'' {\it Int. J. Numer. Methods
Eng.}, {\bf 46}1, pp. 131-150 (1999).
\شماره٪٪۴
Zhao, L., Wang, Y, Zhang, J. and et al
``XFEM-based
model for simulating zigzag delamination growth in laminated
composites under mode I loading,'' {\it Compos. Struct.}, {\it 160},
pp. 1155-1162 (2017).
\شماره٪٪۵
Nagashima, T. and Sawada, M. ``Development of a damage propagation
analysis system based on level set XFEM using the cohesive zone
model,'' {\it Comput. Struct.} {\bf 174}, pp. 42-53 (2016).
\شماره٪٪۶
Agathos, K., Ventura, G., Chatzi, E. and et al. ``Stable
3D XFEM/vector-level sets for non-planar 3D crack propagation
and comparison of enrichment schemes,'' {\it Int. J. Numer. Methods
Eng.}, pp. 1-31, (2017).
\شماره٪٪۷
Shimbo, T. ``Development and application of a dynamic XFEM
for the seismic residual displacement analysis of an embankment,''
{\it Soils Found.}, {\bf 57}3, pp. 357-370 (2017).
\شماره٪٪۸
BERGAN, P.G. and Clought, R.A.Y.W. ``Convergence criteria
for iterative processes,'' {\it AIAA}, {\bf 10}, August, pp. 1107-1108
(1972).
\شماره٪٪۹
Dolbow, J.E. ``An extended finite element method with discontinuous
enrichment for applied mechanics,'' {\it Northwestern University}
(2000).
\شماره٪۱۰
Ventura, G. ``On the elimination of quadrature subcells
for discontinuous functions in the eXtended finite-element method,''
{\it Int. J. Numer. Methods Eng.}, {\bf 66}5, pp. 761-795 (2006).
\شماره٪٪۱۱
Ventura, G. and Benvenuti, E. ``Equivalent polynomials for
quadrature in Heaviside function enriched elements,'' {\it Int. J.
Numer. Methods Eng.}, {\bf 102}3-4, pp. 688-710 (2014).
\شماره٪٪۱۲
Natarajan, S., Bordas, S. and Mahapatra, D.R. ``Numerical
integration over arbitrary polygonal domains based on schwarz--christoffel
conformal mapping,'' {\it Int. J. Numer. Methods Eng.}, {\bf 80}
1, pp. 103-134 (2009).
\شماره٪٪۱۳
Natarajan, S., Mahapatra, D.R. and ephane, S.
``Integrating strong and weak discontinuities without integration
subcells and example applications in an XFEM/GFEM framework,''
{\it Int. J. Numer. Methods Eng.}, {\bf 83} January, pp. 269-294
(2010).
\شماره٪٪۱۴
Joulaian, M., Hubrich, S. and D\"{u}ster, A. ``Numerical integration
of discontinuities on arbitrary domains based on moment fitting,''
{\it Comput. Mech.}, {\bf 57}6, pp. 979-999 2016Method'', Hokkaido
University Collection of Scholarly and Academic Papers (HUSCAP)
(2013).
\شماره٪٪۱۵
Mousavi, S.E. and Sukumar, N. ``Generalized gaussian quadrature
rules for discontinuities and crack singularities in the extended
finite element method,'' {\it Comput. Methods Appl. Mech. Eng.},
{\bf 199}49-52, pp. 3237-3249 (2010).
\شماره٪٪۱۶
``Structural analysis with the finite element O\~{n}ate, Eugenio.
method. linear statics'', {\it Beams, Plates and Shells,
Springer Science} \& {\it Business Media}, {\bf 2}, pp.137-142(2013).
\شماره٪٪۱۷
Bhattacharjee, S.S. ``Smeared fracture analysis of concrete
gravity dams for static and seismic loads,'' {\it McGill University}, pp.68-79
(1993).
\شماره٪٪۱۸
Rots, J. G., Nauta, P., Kuster, G. M. A. and et al.
(1985). ``Smeared crack approach and fracture localization in
concrete''. {\it HERON}, {\bf 30}(1), pp.1-48 (1985).