How to cite this paper
Ri, J & Hong, H. (2018). Limit analysis of cracked structure by combination of extended finite element method with linear matching method.Engineering Solid Mechanics, 6(2), 187-200.
Refrences
Barrera, O., Cocks, A. C. F., & Ponter, A. R. S. (2011). The linear matching method applied to composite materials: a micromechanical approach. Composites Science and Technology, 71(6), 797-804.
Belytschko, T., & Black, T. (1999). Elastic crack growth in finite elements with minimal remeshing. International journal for numerical methods in engineering, 45(5), 601-620.
Casciaro, R., & Garcea, G. (2002). An iterative method for shakedown analysis. Computer methods in applied mechanics and engineering, 191(49), 5761-5792.
Chen, H., Chen, W., Li, T., & Ure, J. (2011). Effect of circular holes on the ratchet limit and crack tip plastic strain range in a centre cracked plate. Engineering Fracture Mechanics, 78(11), 2310-2324.
Chen, H., & Ponter, A. R. (2001). A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading. European Journal of Mechanics-A/Solids, 20(4), 555-571.
Chen, H. F., & Ponter, A. R. (2005a). Integrity assessment of a 3D tubeplate using the linear matching method. Part 1. Shakedown, reverse plasticity and ratchetting. International Journal of Pressure Vessels and Piping, 82(2), 85-94.
Chen, H. F., & Ponter, A. R. (2005b). Integrity assessment of a 3D tubeplate using the linear matching method. Part 2: Creep relaxation and reverse plasticity. International journal of pressure vessels and piping, 82(2), 95-104.
Chen, H. F., & Ponter, A. R. (2005c). The linear matching method for shakedown and limit analyses applied to rolling and sliding point contact problems. Road materials and pavement design, 6(1), 9-30.
Chen, H., & Ponter, A. R. (2006). Linear Matching Method on the evaluation of plastic and creep behaviours for bodies subjected to cyclic thermal and mechanical loading. International Journal for Numerical Methods in Engineering, 68(1), 13-32.
Chen, H., & Ponter, A. R. (2009). Structural integrity assessment of superheater outlet penetration tubeplate. International Journal of Pressure Vessels and Piping, 86(7), 412-419.
Chen, S., Liu, Y., & Cen, Z. (2008). Lower‐bound limit analysis by using the EFG method and non‐linear programming. International Journal for Numerical Methods in Engineering, 74(3), 391-415.
Ciria, H., Peraire, J., & Bonet, J. (2008). Mesh adaptive computation of upper and lower bounds in limit analysis. International journal for numerical methods in engineering, 75(8), 899-944.
Ewing, D. J. F., & Richards, C. E. (1974). The yield-point loads of singly-notched pin-loaded tensile strips. Journal of the Mechanics and Physics of Solids, 22(1), 27-36.
Fries, T. P., & Belytschko, T. (2010). The extended/generalized finite element method: an overview of the method and its applications. International Journal for Numerical Methods in Engineering, 84(3), 253-304.
Fuschi, P., Pisano, A. A., & Barrera, O. (2009). Limit analysis of orthotropic laminates by Linear Matching Method. Limit States of Materials and Structures-Direct Methods, 197-220.
Gorash, Y., & Chen, H. (2013). A parametric study on creep–fatigue strength of welded joints using the linear matching method. International Journal of Fatigue, 55, 112-125.
Moës, N., Gravouil, A., & Belytschko, T. (2002). Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model. International Journal for Numerical Methods in Engineering, 53(11), 2549-2568.
Habibullah, M. S., & Ponter, A. R. S. (2005). Ratchetting limits for cracked bodies subjected to cyclic loads and temperatures. Engineering fracture mechanics, 72(11), 1702-1716.
Huang, R., Sukumar, N., & Prévost, J. H. (2003). Modeling quasi-static crack growth with the extended finite element method Part II: Numerical applications. International Journal of Solids and Structures, 40(26), 7539-7552.
Le, C. V., Gilbert, M., & Askes, H. (2009). Limit analysis of plates using the EFG method and second‐order cone programming. International Journal for Numerical Methods in Engineering, 78(13), 1532-1552.
Le, C. V., Gilbert, M., & Askes, H. (2010). Limit analysis of plates and slabs using a meshless equilibrium formulation. International Journal for Numerical Methods in Engineering, 83(13), 1739-1758.
Liu, X. Y., Xiao, Q. Z., & Karihaloo, B. L. (2004). XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi‐materials. International Journal for Numerical Methods in Engineering, 59(8), 1103-1118.
Miller, A. G. (1988). Review of limit loads of structures containing defects. International Journal of Pressure Vessels and Piping, 32(1), 197-327.
Dolbow, J. O. H. N., & Belytschko, T. (1999). A finite element method for crack growth without remeshing. International journal for numerical methods in engineering, 46(1), 131-150.
Moës, N., Gravouil, A., & Belytschko, T. (2002). Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model. International Journal for Numerical Methods in Engineering, 53(11), 2549-2568.
Munoz, J. J., Bonet, J., Huerta, A., & Peraire, J. (2009). Upper and lower bounds in limit analysis: adaptive meshing strategies and discontinuous loading. International Journal for Numerical Methods in Engineering, 77(4), 471-501.
Ponter, A. R., Chen, H., Willis, M. R., & Evans, W. J. (2004). Fatigue‐creep and plastic collapse of notched bars. Fatigue & Fracture of Engineering Materials & Structures, 27(4), 305-318.
Staat, M., & Heitzer, M. (2003). Numerical methods for limit and shakedown analysis. Series of John von Neumann institute for computing, 15, 306.
Sukumar, N., & Prévost, J. H. (2003). Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation. International journal of solids and structures, 40(26), 7513-7537.
Tarancón, J. E., Vercher, A., Giner, E., & Fuenmayor, F. J. (2009). Enhanced blending elements for XFEM applied to linear elastic fracture mechanics. International Journal for Numerical Methods in Engineering, 77(1), 126-148.
Belytschko, T., & Black, T. (1999). Elastic crack growth in finite elements with minimal remeshing. International journal for numerical methods in engineering, 45(5), 601-620.
Casciaro, R., & Garcea, G. (2002). An iterative method for shakedown analysis. Computer methods in applied mechanics and engineering, 191(49), 5761-5792.
Chen, H., Chen, W., Li, T., & Ure, J. (2011). Effect of circular holes on the ratchet limit and crack tip plastic strain range in a centre cracked plate. Engineering Fracture Mechanics, 78(11), 2310-2324.
Chen, H., & Ponter, A. R. (2001). A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading. European Journal of Mechanics-A/Solids, 20(4), 555-571.
Chen, H. F., & Ponter, A. R. (2005a). Integrity assessment of a 3D tubeplate using the linear matching method. Part 1. Shakedown, reverse plasticity and ratchetting. International Journal of Pressure Vessels and Piping, 82(2), 85-94.
Chen, H. F., & Ponter, A. R. (2005b). Integrity assessment of a 3D tubeplate using the linear matching method. Part 2: Creep relaxation and reverse plasticity. International journal of pressure vessels and piping, 82(2), 95-104.
Chen, H. F., & Ponter, A. R. (2005c). The linear matching method for shakedown and limit analyses applied to rolling and sliding point contact problems. Road materials and pavement design, 6(1), 9-30.
Chen, H., & Ponter, A. R. (2006). Linear Matching Method on the evaluation of plastic and creep behaviours for bodies subjected to cyclic thermal and mechanical loading. International Journal for Numerical Methods in Engineering, 68(1), 13-32.
Chen, H., & Ponter, A. R. (2009). Structural integrity assessment of superheater outlet penetration tubeplate. International Journal of Pressure Vessels and Piping, 86(7), 412-419.
Chen, S., Liu, Y., & Cen, Z. (2008). Lower‐bound limit analysis by using the EFG method and non‐linear programming. International Journal for Numerical Methods in Engineering, 74(3), 391-415.
Ciria, H., Peraire, J., & Bonet, J. (2008). Mesh adaptive computation of upper and lower bounds in limit analysis. International journal for numerical methods in engineering, 75(8), 899-944.
Ewing, D. J. F., & Richards, C. E. (1974). The yield-point loads of singly-notched pin-loaded tensile strips. Journal of the Mechanics and Physics of Solids, 22(1), 27-36.
Fries, T. P., & Belytschko, T. (2010). The extended/generalized finite element method: an overview of the method and its applications. International Journal for Numerical Methods in Engineering, 84(3), 253-304.
Fuschi, P., Pisano, A. A., & Barrera, O. (2009). Limit analysis of orthotropic laminates by Linear Matching Method. Limit States of Materials and Structures-Direct Methods, 197-220.
Gorash, Y., & Chen, H. (2013). A parametric study on creep–fatigue strength of welded joints using the linear matching method. International Journal of Fatigue, 55, 112-125.
Moës, N., Gravouil, A., & Belytschko, T. (2002). Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model. International Journal for Numerical Methods in Engineering, 53(11), 2549-2568.
Habibullah, M. S., & Ponter, A. R. S. (2005). Ratchetting limits for cracked bodies subjected to cyclic loads and temperatures. Engineering fracture mechanics, 72(11), 1702-1716.
Huang, R., Sukumar, N., & Prévost, J. H. (2003). Modeling quasi-static crack growth with the extended finite element method Part II: Numerical applications. International Journal of Solids and Structures, 40(26), 7539-7552.
Le, C. V., Gilbert, M., & Askes, H. (2009). Limit analysis of plates using the EFG method and second‐order cone programming. International Journal for Numerical Methods in Engineering, 78(13), 1532-1552.
Le, C. V., Gilbert, M., & Askes, H. (2010). Limit analysis of plates and slabs using a meshless equilibrium formulation. International Journal for Numerical Methods in Engineering, 83(13), 1739-1758.
Liu, X. Y., Xiao, Q. Z., & Karihaloo, B. L. (2004). XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi‐materials. International Journal for Numerical Methods in Engineering, 59(8), 1103-1118.
Miller, A. G. (1988). Review of limit loads of structures containing defects. International Journal of Pressure Vessels and Piping, 32(1), 197-327.
Dolbow, J. O. H. N., & Belytschko, T. (1999). A finite element method for crack growth without remeshing. International journal for numerical methods in engineering, 46(1), 131-150.
Moës, N., Gravouil, A., & Belytschko, T. (2002). Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model. International Journal for Numerical Methods in Engineering, 53(11), 2549-2568.
Munoz, J. J., Bonet, J., Huerta, A., & Peraire, J. (2009). Upper and lower bounds in limit analysis: adaptive meshing strategies and discontinuous loading. International Journal for Numerical Methods in Engineering, 77(4), 471-501.
Ponter, A. R., Chen, H., Willis, M. R., & Evans, W. J. (2004). Fatigue‐creep and plastic collapse of notched bars. Fatigue & Fracture of Engineering Materials & Structures, 27(4), 305-318.
Staat, M., & Heitzer, M. (2003). Numerical methods for limit and shakedown analysis. Series of John von Neumann institute for computing, 15, 306.
Sukumar, N., & Prévost, J. H. (2003). Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation. International journal of solids and structures, 40(26), 7513-7537.
Tarancón, J. E., Vercher, A., Giner, E., & Fuenmayor, F. J. (2009). Enhanced blending elements for XFEM applied to linear elastic fracture mechanics. International Journal for Numerical Methods in Engineering, 77(1), 126-148.