Li, Huan; Jiang, Haitao; Yang, Wencai An extended multiphase hybrid-stress finite element method for modelling interface crack propagation between two dissimilar materials. (English) Zbl 1525.65123 Appl. Math. Modelling 122, 60-98 (2023). MSC: 65N30 PDFBibTeX XMLCite \textit{H. Li} et al., Appl. Math. Modelling 122, 60--98 (2023; Zbl 1525.65123) Full Text: DOI
Ghorbanpoor, R.; Saberi-Nadjafi, J.; Long, N. M. A. Nik; Erfanian, M. Stability and convergence analysis of singular integral equations for unequal arms branch crack problems in plane elasticity. (English) Zbl 1525.45013 Appl. Math. Modelling 103, 731-749 (2022). MSC: 45M10 45E05 65R20 74R05 74R10 PDFBibTeX XMLCite \textit{R. Ghorbanpoor} et al., Appl. Math. Modelling 103, 731--749 (2022; Zbl 1525.45013) Full Text: DOI
Chen, Junwei; Zhou, Xiaoping; Zhou, Jiannan The enriched degree of freedom method for the absorbing boundary and its application to XFEM in elastodynamic problems. (English) Zbl 1505.65290 Appl. Math. Modelling 112, 168-198 (2022). MSC: 65N30 74H45 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Math. Modelling 112, 168--198 (2022; Zbl 1505.65290) Full Text: DOI
Yang, Danhui; Wei, Viska; Jin, Zeren; Yang, Zhibo; Chen, Xuefeng A UMAP-based clustering method for multi-scale damage analysis of laminates. (English) Zbl 1505.74204 Appl. Math. Modelling 111, 78-93 (2022). MSC: 74S10 74E30 PDFBibTeX XMLCite \textit{D. Yang} et al., Appl. Math. Modelling 111, 78--93 (2022; Zbl 1505.74204) Full Text: DOI
Wu, Wenan; Yang, Yongtao; Shen, Yinbin; Zheng, Hong; Yuan, Chi; Zhang, Ning Hydro-mechanical multiscale numerical manifold model of the three-dimensional heterogeneous poro-elasticity. (English) Zbl 1505.74049 Appl. Math. Modelling 110, 779-818 (2022). MSC: 74F10 PDFBibTeX XMLCite \textit{W. Wu} et al., Appl. Math. Modelling 110, 779--818 (2022; Zbl 1505.74049) Full Text: DOI
BaniHani, Suleiman M.; Al-Oqla, Faris M.; Hayajneh, Mohammad; Mutawe, Samer; Almomani, Thakir A new approach for dynamic crack propagation modeling based on meshless Galerkin method and visibility based criterion. (English) Zbl 1503.74098 Appl. Math. Modelling 107, 1-19 (2022). MSC: 74R10 PDFBibTeX XMLCite \textit{S. M. BaniHani} et al., Appl. Math. Modelling 107, 1--19 (2022; Zbl 1503.74098) Full Text: DOI
Ahmadvand, Maryam; Asadi, Payam Free vibration analysis of flexible rectangular fluid tanks with a horizontal crack. (English) Zbl 1481.74234 Appl. Math. Modelling 91, 93-110 (2021). MSC: 74H45 74R10 76B99 PDFBibTeX XMLCite \textit{M. Ahmadvand} and \textit{P. Asadi}, Appl. Math. Modelling 91, 93--110 (2021; Zbl 1481.74234) Full Text: DOI
Fan, Huo; Huang, Duruo; Wang, Gang Cone complimentary-based numerical manifold method modeling frictional and cohesive contact problems. (English) Zbl 1481.74566 Appl. Math. Modelling 89, Part 2, 1341-1356 (2021). MSC: 74M10 90C33 90C90 PDFBibTeX XMLCite \textit{H. Fan} et al., Appl. Math. Modelling 89, Part 2, 1341--1356 (2021; Zbl 1481.74566) Full Text: DOI
Fan, Huo; Huang, Duruo; Wang, Gang A four-way enhanced numerical manifold method for crack propagation and failure analysis of rock slopes. (English) Zbl 1481.74658 Appl. Math. Modelling 95, 623-643 (2021). MSC: 74R10 74L10 PDFBibTeX XMLCite \textit{H. Fan} et al., Appl. Math. Modelling 95, 623--643 (2021; Zbl 1481.74658) Full Text: DOI
Dsouza, Shaima M.; Varghese, Tittu M.; Ooi, Ean Tat; Natarajan, Sundararajan; Bordas, Stéphane P. A. Treatment of multiple input uncertainties using the scaled boundary finite element method. (English) Zbl 1481.65224 Appl. Math. Modelling 99, 538-554 (2021). MSC: 65N30 74S05 PDFBibTeX XMLCite \textit{S. M. Dsouza} et al., Appl. Math. Modelling 99, 538--554 (2021; Zbl 1481.65224) Full Text: DOI
Sun, Lei; Tao, Siji; Tang, Xuhai; Liu, Quansheng Simulation of the nonplanar three-dimensional thermal cracking using the finite element-meshfree method. (English) Zbl 1481.74702 Appl. Math. Modelling 99, 106-128 (2021). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{L. Sun} et al., Appl. Math. Modelling 99, 106--128 (2021; Zbl 1481.74702) Full Text: DOI
Zhou, Xiao-Ping; Wang, Long-Fei Investigating propagation path of interface crack by the field-enriched finite element method. (English) Zbl 1481.74706 Appl. Math. Modelling 99, 81-105 (2021). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{X.-P. Zhou} and \textit{L.-F. Wang}, Appl. Math. Modelling 99, 81--105 (2021; Zbl 1481.74706) Full Text: DOI
Wu, Wenan; Yang, Yongtao; Zheng, Hong Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity. (English) Zbl 1481.74165 Appl. Math. Modelling 86, 225-258 (2020). MSC: 74F10 74R10 PDFBibTeX XMLCite \textit{W. Wu} et al., Appl. Math. Modelling 86, 225--258 (2020; Zbl 1481.74165) Full Text: DOI
Iqbal, M.; Alam, K.; Gimperlein, H.; Laghrouche, O.; Mohamed, M. S. Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems. (English) Zbl 1481.80004 Appl. Math. Modelling 85, 89-106 (2020). MSC: 80A19 65M15 65M60 PDFBibTeX XMLCite \textit{M. Iqbal} et al., Appl. Math. Modelling 85, 89--106 (2020; Zbl 1481.80004) Full Text: DOI
Schätzer, Markus; Fries, Thomas-Peter Loaded crack surfaces in two and three dimensions with XFEM. (English) Zbl 1481.74673 Appl. Math. Modelling 78, 863-885 (2020). MSC: 74R10 PDFBibTeX XMLCite \textit{M. Schätzer} and \textit{T.-P. Fries}, Appl. Math. Modelling 78, 863--885 (2020; Zbl 1481.74673) Full Text: DOI
Yang, Yongtao; Sun, Guanhua; Zheng, Hong A high-order numerical manifold method with continuous stress/strain field. (English) Zbl 1481.74704 Appl. Math. Modelling 78, 576-600 (2020). MSC: 74S05 74A05 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Modelling 78, 576--600 (2020; Zbl 1481.74704) Full Text: DOI
Yang, H. S.; Dong, C. Y.; Qin, X. C.; Wu, Y. H. Vibration and buckling analyses of FGM plates with multiple internal defects using XIGA-PHT and FCM under thermal and mechanical loads. (English) Zbl 1481.74330 Appl. Math. Modelling 78, 433-481 (2020). MSC: 74H45 74G60 74K20 PDFBibTeX XMLCite \textit{H. S. Yang} et al., Appl. Math. Modelling 78, 433--481 (2020; Zbl 1481.74330) Full Text: DOI
Yang, H. S.; Dong, C. Y. Adaptive extended isogeometric analysis based on PHT-splines for thin cracked plates and shells with Kirchhoff-Love theory. (English) Zbl 1481.74682 Appl. Math. Modelling 76, 759-799 (2019). MSC: 74R10 74K20 74K25 65D07 65N30 PDFBibTeX XMLCite \textit{H. S. Yang} and \textit{C. Y. Dong}, Appl. Math. Modelling 76, 759--799 (2019; Zbl 1481.74682) Full Text: DOI
Cheng, Zhenxing; Wang, Hu An exact and efficient X-FEM-based reanalysis algorithm for quasi-static crack propagation. (English) Zbl 1481.74654 Appl. Math. Modelling 72, 601-622 (2019). MSC: 74R10 65N30 PDFBibTeX XMLCite \textit{Z. Cheng} and \textit{H. Wang}, Appl. Math. Modelling 72, 601--622 (2019; Zbl 1481.74654) Full Text: DOI
Roy, Pranesh; Roy, Debasish Peridynamics model for flexoelectricity and damage. (English) Zbl 1481.74053 Appl. Math. Modelling 68, 82-112 (2019). MSC: 74A45 PDFBibTeX XMLCite \textit{P. Roy} and \textit{D. Roy}, Appl. Math. Modelling 68, 82--112 (2019; Zbl 1481.74053) Full Text: DOI
Cordeiro, Sergio Gustavo Ferreira; Leonel, Edson Denner Mechanical modelling of three-dimensional cracked structural components using the isogeometric dual boundary element method. (English) Zbl 1480.74269 Appl. Math. Modelling 63, 415-444 (2018). MSC: 74R10 PDFBibTeX XMLCite \textit{S. G. F. Cordeiro} and \textit{E. D. Leonel}, Appl. Math. Modelling 63, 415--444 (2018; Zbl 1480.74269) Full Text: DOI
Hauseux, Paul; Hale, Jack S.; Cotin, Stéphane; Bordas, Stéphane P. A. Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters. (English) Zbl 1460.74065 Appl. Math. Modelling 62, 86-102 (2018). MSC: 74L15 74B20 74S60 92C10 PDFBibTeX XMLCite \textit{P. Hauseux} et al., Appl. Math. Modelling 62, 86--102 (2018; Zbl 1460.74065) Full Text: DOI Link
Yang, Yongtao; Tang, Xuhai; Zheng, Hong; Liu, Quansheng; Liu, Zhijun Hydraulic fracturing modeling using the enriched numerical manifold method. (English) Zbl 1480.74279 Appl. Math. Modelling 53, 462-486 (2018). MSC: 74R10 74S05 74S99 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Modelling 53, 462--486 (2018; Zbl 1480.74279) Full Text: DOI
Yang, Gang; Hu, Dean; Han, Xu; Ma, Guowei An extended edge-based smoothed discrete shear gap method for free vibration analysis of cracked Reissner-Mindlin plate. (English) Zbl 1480.74134 Appl. Math. Modelling 51, 477-504 (2017). MSC: 74H45 74K20 PDFBibTeX XMLCite \textit{G. Yang} et al., Appl. Math. Modelling 51, 477--504 (2017; Zbl 1480.74134) Full Text: DOI
Luege, Mariela; Lucero, Javier; Torrijos, Celeste; Orlando, Antonio Coupled mechanical and fluid flow analysis in fractured saturated porous media using the XFEM. (English) Zbl 1459.76082 Appl. Math. Modelling 40, No. 7-8, 4480-4504 (2016). MSC: 76M10 76S05 74F10 PDFBibTeX XMLCite \textit{M. Luege} et al., Appl. Math. Modelling 40, No. 7--8, 4480--4504 (2016; Zbl 1459.76082) Full Text: DOI
Gallimard, Laurent; Ryckelynck, D. A posteriori global error estimator based on the error in the constitutive relation for reduced basis approximation of parametrized linear elastic problems. (English) Zbl 1459.65220 Appl. Math. Modelling 40, No. 7-8, 4271-4284 (2016). MSC: 65N30 65N15 74B05 PDFBibTeX XMLCite \textit{L. Gallimard} and \textit{D. Ryckelynck}, Appl. Math. Modelling 40, No. 7--8, 4271--4284 (2016; Zbl 1459.65220) Full Text: DOI
Wu, C. T.; Wang, D.; Guo, Y. An immersed particle modeling technique for the three-dimensional large strain simulation of particulate-reinforced metal-matrix composites. (English) Zbl 1452.74030 Appl. Math. Modelling 40, No. 4, 2500-2513 (2016). MSC: 74E30 65N30 PDFBibTeX XMLCite \textit{C. T. Wu} et al., Appl. Math. Modelling 40, No. 4, 2500--2513 (2016; Zbl 1452.74030) Full Text: DOI
Kastratović, Gordana; Grbović, Aleksandar; Vidanović, Nenad Approximate method for stress intensity factors determination in case of multiple site damage. (English) Zbl 1443.74061 Appl. Math. Modelling 39, No. 19, 6050-6059 (2015). MSC: 74-10 74R10 PDFBibTeX XMLCite \textit{G. Kastratović} et al., Appl. Math. Modelling 39, No. 19, 6050--6059 (2015; Zbl 1443.74061) Full Text: DOI
Kim, Dae-Jin; Hong, Sung-Gul; Duarte, C. Armando Generalized finite element analysis using the preconditioned conjugate gradient method. (English) Zbl 1443.65350 Appl. Math. Modelling 39, No. 19, 5837-5848 (2015). MSC: 65N30 65N22 65N12 PDFBibTeX XMLCite \textit{D.-J. Kim} et al., Appl. Math. Modelling 39, No. 19, 5837--5848 (2015; Zbl 1443.65350) Full Text: DOI
Bidhar, S.; Kuwazuru, O.; Shiihara, Y.; Utsunomiya, T.; Hangai, Y.; Nomura, M.; Watanabe, I.; Yoshikawa, N. Empirical formulation of stress concentration factor around an arbitrary-sized spherical dual-cavity system and its application to aluminum die castings. (English) Zbl 1443.74026 Appl. Math. Modelling 39, No. 18, 5707-5723 (2015). MSC: 74-10 74S05 PDFBibTeX XMLCite \textit{S. Bidhar} et al., Appl. Math. Modelling 39, No. 18, 5707--5723 (2015; Zbl 1443.74026) Full Text: DOI
Li, L. X.; Chen, Y. L.; Lu, Z. C. Generalization of the multi-scale finite element method to plane elasticity problems. (English) Zbl 1432.74205 Appl. Math. Modelling 39, No. 2, 642-653 (2015). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{L. X. Li} et al., Appl. Math. Modelling 39, No. 2, 642--653 (2015; Zbl 1432.74205) Full Text: DOI
Pathak, Himanshu; Singh, Akhilendra; Singh, Indra Vir Fatigue crack growth simulations of homogeneous and bi-material interfacial cracks using element free Galerkin method. (English) Zbl 1449.74191 Appl. Math. Modelling 38, No. 13, 3093-3123 (2014). MSC: 74S05 74R10 74R99 74G70 74A45 PDFBibTeX XMLCite \textit{H. Pathak} et al., Appl. Math. Modelling 38, No. 13, 3093--3123 (2014; Zbl 1449.74191) Full Text: DOI
Yan, Fei; Feng, Xia-Ting; Pan, Peng-Zhi; Li, Shao-Jun Discontinuous cellular automaton method for crack growth analysis without remeshing. (English) Zbl 1449.74195 Appl. Math. Modelling 38, No. 1, 291-307 (2014). MSC: 74S05 74R10 74G70 PDFBibTeX XMLCite \textit{F. Yan} et al., Appl. Math. Modelling 38, No. 1, 291--307 (2014; Zbl 1449.74195) Full Text: DOI
Khoei, A. R.; Eghbalian, M.; Moslemi, H.; Azadi, H. Crack growth modeling via 3D automatic adaptive mesh refinement based on modified-SPR technique. (English) Zbl 1349.74326 Appl. Math. Modelling 37, No. 1-2, 357-383 (2013). MSC: 74S05 74A45 74G70 74R99 PDFBibTeX XMLCite \textit{A. R. Khoei} et al., Appl. Math. Modelling 37, No. 1--2, 357--383 (2013; Zbl 1349.74326) Full Text: DOI
Khoei, A. R.; Haghighat, E. Extended finite element modeling of deformable porous media with arbitrary interfaces. (English) Zbl 1228.74083 Appl. Math. Modelling 35, No. 11, 5426-5441 (2011). MSC: 74S05 74L05 PDFBibTeX XMLCite \textit{A. R. Khoei} and \textit{E. Haghighat}, Appl. Math. Modelling 35, No. 11, 5426--5441 (2011; Zbl 1228.74083) Full Text: DOI
Yazid, Abdelaziz; Abdelkader, Nabbou; Abdelmadjid, Hamouine A state-of-the-art review of the X-FEM for computational fracture mechanics. (English) Zbl 1172.74050 Appl. Math. Modelling 33, No. 12, 4269-4282 (2009). MSC: 74S05 74R10 74G70 74-02 PDFBibTeX XMLCite \textit{A. Yazid} et al., Appl. Math. Modelling 33, No. 12, 4269--4282 (2009; Zbl 1172.74050) Full Text: DOI