Numerical Investigation of an Orthotropic Plate with Interactions of Crack, Inclusions and Voids under Uniaxial Tensile Loading by XFEM

This work is focused to investigate the effect of various discontinuities like cracks, inclusions and voids for an orthotropic plate, to evaluate the normalized mixed-mode stress intensity factors (NMMSIFs) by implementing the extended finite element method (XFEM) under uniaxial tensile loading though considering the various numerical examples. The NMMSIFs are investigated with the interaction of crack, single- and multi-inclusions/voids for an orthotropic plate. The effect of NMMSIFs is analyzed for an orthotropic plate with several orthotropy axis orientations by changing the position of single- and multi-inclusions/voids while aligned, above and away with respect to an edge crack of the plate and for the both side inclusions/voids aligned the center crack. It is also investigated for the effect of various shapes of inclusions/voids for an edge crack orthotropic plate under uniaxial tensile loading using XFEM.

[1]  Tinh Quoc Bui,et al.  Crack growth adaptive XIGA simulation in isotropic and orthotropic materials , 2020 .

[2]  Xin Chen,et al.  Numerical simulation of arbitrary holes in orthotropic media by an efficient computational method based on adaptive XIGA , 2019 .

[3]  Z. B. Zhang,et al.  An adaptively refined XFEM for the dynamic fracture problems with micro-defects , 2019, Theoretical and Applied Fracture Mechanics.

[4]  Samir Khatir,et al.  A computational approach for crack identification in plate structures using XFEM, XIGA, PSO and Jaya algorithm , 2019, Theoretical and Applied Fracture Mechanics.

[5]  T.Q. Bui,et al.  Thermal-mechanical crack propagation in orthotropic composite materials by the extended four-node consecutive-interpolation element (XCQ4) , 2019, Engineering Fracture Mechanics.

[6]  D. Dini,et al.  Discrete crack dynamics: A planar model of crack propagation and crack-inclusion interactions in brittle materials , 2018, International Journal of Solids and Structures.

[7]  Licheng Guo,et al.  Investigation on mixed-mode dynamic stress intensity factors of an interface crack in bi-materials with an inclusion , 2018, Composite Structures.

[8]  Tinh Quoc Bui,et al.  Multi-inclusions modeling by adaptive XIGA based on LR B-splines and multiple level sets , 2018, Finite Elements in Analysis and Design.

[9]  A. S. Fallah,et al.  Enhanced mixed interpolation XFEM formulations for discontinuous Timoshenko beam and Mindlin‐Reissner plate , 2018 .

[10]  Tinh Quoc Bui,et al.  Numerical simulation of 2-D weak and strong discontinuities by a novel approach based on XFEM with local mesh refinement , 2018 .

[11]  Minh Ngoc Nguyen,et al.  Analysis of transient dynamic fracture parameters of cracked functionally graded composites by improved meshfree methods , 2017, Theoretical and Applied Fracture Mechanics.

[12]  A. C. Cook,et al.  Pervasive cracking of heterogeneous brittle materials using a multi-directional smeared crack band model , 2017, International Journal of Mechanical Sciences.

[13]  Licheng Guo,et al.  A numerical method for the thermal-shock crack problems of nonhomogeneous materials with inclusions based on an interaction energy integral method , 2017 .

[14]  B. K. Mishra,et al.  A new multiscale XFEM for the elastic properties evaluation of heterogeneous materials , 2017 .

[15]  J. Trevelyan,et al.  An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials , 2017 .

[16]  J. L. Curiel-Sosa,et al.  3-D local mesh refinement XFEM with variable-node hexahedron elements for extraction of stress intensity factors of straight and curved planar cracks , 2017 .

[17]  Zhen Wang,et al.  Numerical modeling of 3-D inclusions and voids by a novel adaptive XFEM , 2016, Adv. Eng. Softw..

[18]  Peter Wriggers,et al.  An XFEM approach for modelling delamination in composite laminates , 2016 .

[19]  Bijay K. Mishra,et al.  New enrichments in XFEM to model dynamic crack response of 2-D elastic solids , 2016 .

[20]  Rouzegar Jafar.  Extended Finite Element Method , 2015 .

[21]  Timon Rabczuk,et al.  Modeling and simulation of kinked cracks by virtual node XFEM , 2015 .

[22]  Chengbin Du,et al.  XFEM analysis of the effects of voids, inclusions and other cracks on the dynamic stress intensity factor of a major crack , 2014 .

[23]  C. Gu,et al.  An investigation into the effects of voids, inclusions and minor cracks on major crack propagation by using XFEM , 2014 .

[24]  S. Natarajan,et al.  Numerical Analysis of the Inclusion-Crack Interaction by the Extended Finite Element Method , 2014 .

[25]  A. S. Fallah,et al.  Dynamic analysis of a viscoelastic orthotropic cracked body using the extended finite element method , 2013 .

[26]  Chuanzeng Zhang,et al.  Analysis of generalized dynamic intensity factors of cracked magnetoelectroelastic solids by X-FEM , 2013 .

[27]  Lechun Xie,et al.  Interaction between cracks and a circular inclusion in a finite plate with the distributed dislocation method , 2013 .

[28]  A. S. Shedbale,et al.  Nonlinear Simulation of an Embedded Crack in the Presence of Holes and Inclusions by XFEM , 2013 .

[29]  Soheil Mohammadi,et al.  XFEM fracture analysis of orthotropic functionally graded materials , 2013 .

[30]  N. Sukumar,et al.  Generalized Gaussian Quadrature Rules for Discontinuities and Crack Singularities in the Extended Finite Element Method , 2010 .

[31]  S. Mohammadi,et al.  Modeling delamination in composite laminates using XFEM by new orthotropic enrichment functions , 2010 .

[32]  T. Belytschko,et al.  A review of extended/generalized finite element methods for material modeling , 2009 .

[33]  Ted Belytschko,et al.  On XFEM applications to dislocations and interfaces , 2007 .

[34]  Stéphane Bordas,et al.  An extended finite element library , 2007 .

[35]  Alireza Asadpoure,et al.  Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method , 2007 .

[36]  Alireza Asadpoure,et al.  Crack analysis in orthotropic media using the extended finite element method , 2006 .

[37]  Alireza Asadpoure,et al.  Modeling crack in orthotropic media using a coupled finite element and partition of unity methods , 2006 .

[38]  J. Dolbow,et al.  A note on enrichment functions for modelling crack nucleation , 2003 .

[39]  Glaucio H. Paulino,et al.  The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors , 2003 .

[40]  Qiang Chen,et al.  Crack-inclusion interaction for mode I crack analyzed by Eshelby equivalent inclusion method , 2002 .

[41]  Glaucio H. Paulino,et al.  Mixed-mode fracture of orthotropic functionally graded materials using finite elements and the modified crack closure method , 2002 .

[42]  T. Belytschko,et al.  MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD , 2001 .

[43]  P. Sollero,et al.  Crack growth analysis in homogeneous orthotropic laminates , 1998 .

[44]  F. Erdogan,et al.  Mode I Crack Problem in an Inhomogeneous Orthotropic Medium , 1997 .

[45]  C. Hong,et al.  Application of the Jk integral to mixed mode crack problems for anisotropic composite laminates , 1990 .

[46]  W. Chien,et al.  The superposition of the finite element method on the singularity terms in determining the stress intensity factor , 1982 .

[47]  H. T. Corten,et al.  A mixed-mode crack analysis of rectilinear anisotropic solids using conservation laws of elasticity , 1980 .

[48]  C. E. Freese,et al.  Central crack in plane orthotropic rectangular sheet , 1972 .