PSI - Issue 43

Vladislav Kozák et al. / Procedia Structural Integrity 43 (2023) 47–52 V. Koza´k & J. Vala / Structural Integrity Procedia 00 (2023) 000–000

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Acknowledgement

This study has been supported from the project of specific university research at Brno University of Technology No. FAST-S-22-7867.

References

Aduloju C., Truster T. J., 2019. “A variational multiscale discontinuous Galerkin formulation for both implicit and explicit dynamic modelling of interfacial fracture.” Computer Methods in Applied Mechanics and Engineering 343, 602–630. Babusˇka, I., Melenk, J. M., 1997. “The partition of unity method.” International Journal for Numerical Methods in Engineering 40, 727–758. Bouhala, L., Makradi, A., Belouettar, S., Kiefer-Kamal, H., Fre´res, P., 2013. “Modelling of failure in long fibres reinforced composites by X-FEM and cohesive zone model.” Composites Part B 55, 352–361. Brighenti, R., Scorza, D., 2012. “Numerical modelling of the fracture behaviour of brittle materials reinforced with unidirectional or randomly distributed fibres.” Mechanics of Materials 52, 12–27. Duarte C. A., Hamzeh O. N., Liszka T. J., Tworzydlo W. W., 2001. “A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.” Computer Methods in Applied Mechanics and Engineering 190, 2227–2262. Eringen, A. C., 1984. Theory of Nonlocal Elasticity and Some Applications. Princeton University, technical report 62. Eringen, A. C., 2002. Nonlocal Continuum Field Theories. Springer, New York. Evgrafov, A., Bellido, J. C., 2019. “From nonlocal Eringen’s model to fractional elasticity.” Mathematics and Mechanics of Solids 24, 1935–1953. Fries, T. P., Belytschko, T., 2006. “The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns.” International Journal for Numerical Methods in Engineering 68, 1358–1385. Giry, C., Dufour, F., Mazars, J., 2011. “Stress-based nonlocal damage model.” International Journal of Solids and Structures 48, 3431–3443. Grassl, P., Xenos, D., Jira´sek, M., Hora´k, M., 2014. “Evaluation of nonlocal approaches for modelling fracture near nonconvex boundaries.” International Journal of Solids and Structures 51, 3239–3251. Havla´sek, P., Grassl, P., M. Jira´sek, M., 2016. “Analysis of size e ff ect on strength of quasi-brittle materials using integral-type nonlocal models.” Engineering Fracture Mechanics 157, 72–85. Hillerborg, A., Modeer, M., Peterson, P. E., 1976. “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cement and Concrete Research 6, 773–782. Jira´sek, M., 2011. Numerical Modelling of Concrete Cracking, cap. Damage and smeared crack models. Springer: CISM International Centre for Mechanical Sciences 532, 1–49. Khoei, A. R., 2015. Extended Finite Element Method: Theory and Applications. J. Wiley and Sons, Hoboken. Li, X., Chen, J., 2017. “An extensive cohesive damage model for simulation arbitrary damage propagation in engineering materials.” Computer Methods in Applied Mechanics and Engineering 315, 744–759. Li, H., Li, J., Yuan, H., 2018. “A review of the extended finite element method on macrocrack and microcrack growth simulations.” Theoretical and Applied Fracture Mechanics 97, 236–249. Necˇas, J., Hlava´cˇek, I., 1991. Mathematical Theory of Elastic and Elastoplastic Bodies: An Introduction. Elsevier, Amsterdam. Pijaudier-Cabot, G., Mazars, J.,2001. “Damage models for concrete.” In: Handbook of Materials Behaviour Models (Lemaitre, J., ed.). Academic Press, Cambridge (Massachusetts, USA), 500–512. Pike, M. G., Oskay, C., 2015. “XFEM modelling of short microfibre reinforced composites with cohesive interfaces.” Finite Elements in Analysis and Design 106, 16–31. Sorensen, B. F., Jacobsen, T. K., 1998. “Large-scale bridging in composites: R-curves and bridging laws.” Composites: Part A 29 A, 1443-1451. Vala, J., Hobst, L., Koza´k, V., 2015. “Detection of metal fibre composites based on signal and image processing approaches.” WSAS Transaction on Applied and Theoretical Mechanics 10, 39–46. Vala, J., Koza´k, V., 2020. “Computational analysis of quasi-brittle fracture in fibre reinforced cementitious composites.” Theoretical and Applied Fracture Mechanics 107, 102486 / 1–8. Vala, J., Koza´k, V., 2021. “Nonlocal damage modelling of quasi-brittle composites.” Applications of Mathematics 66, 701–721. Vala, J., 2021. “On a computational smeared damage approach to the analysis of strength of quasi-brittle materials.” WSEAS Transactions on Applied and Theoretical Mechanics 16, 283–292. Vala, J., Koza´k, V. “On a computational stress-based non-local damage model for quasi-brittle composites.” Structural Integrity Procedia, submitted, 6 pp. Vilppo, J., Kouhia, R., Hartikainen, J., Kolari, K., Fedoro ff , A., Calonius, K., 2021. “Anisotropic damage model for concrete and other quasi-brittle materials.” International Journal of Solids and Structures 225, 111048 / 1–13. Zhang, H. H., Rong, G., Li, L. X., 2010. “Numerical study on deformation in a cracked viscoelastic body with the XFEM.” Eng. Analysis with Boundary Elements 34, 619–624.

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