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Understanding Failure in Material Systems

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Our group has been successful in modeling fracture initiation and fracture propagation in purely mechanical as well as highly coupled engineered material systems undergoing small and large deformations. We have developed embedded finite element methods, phase field fracture methods, and gradient damage methods for standard and generalized micropolar continua in 2D and 3D as well as shell structures.

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Related References

Arunachala P K, Abrari Vajari S, Neuner M, Sim J, Zhao R, Linder C, (2024). "A multiscale anisotropic polymer network model coupled with phase field fracture". International Journal for Numerical Methods in Engineering, 2024; e7488.

Abrari Vajari S, Neuner M, Arunachala P K, Linder C, (2023). "Investigation of driving forces in a phase field approach to mixed mode fracture of concrete". Computer Methods in Applied Mechanics and Engineering. 417: 116404.

Arunachala P K, Abrari Vajari S, Neuner M, Linder C, (2023). "A multiscale fracture approach based on the non-affine microsphere model for rubber-like materials," Computer Methods in Applied Mechanics and Engineering, 410: 115982.

Neuner M, Abrari Vajari S, Arunachala PK, Linder C, (2022). "A better understanding of the mechanics of borehole breakout utilizing a finite strain gradient-enhanced micropolar continuum model," Computers and Geotechnics, 153:105064.

Abrari Vajari S, Neuner M, Arunachala PK, Ziccarelli A, Deierlein G, Linder C, (2022). “A thermodynamically consistent finite strain phase field approach to ductile fracture considering multi-axial stress states,” Computer Methods in Applied Mechanics and Engineering, 400:115467.

Neuner M, Regueiro R, Linder C, (2022). “A unified finite strain gradient enhanced micropolar continuum approach for quasi-brittle failure of cohesive-fractional materials,” International Journal of Solids and Structures, 245-255: 111841.

Arunachala PK, Rastak R, Linder C, (2021). “Energy based fracture initiation criterion for strain-crystallizing rubber-like materials with pre-existing cracks,” Journal of the Mechanics and Physics of Solids, 157:104617.

Jin T, Mourad HM, Bronkhorst CA, Livescu V, Zhang X, Linder C, Regueiro R, (2019). “Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities,” Computer Methods in Applied Mechanics and Engineering, 353:416-447.

Reinoso J, Paggi M, Linder C, (2017). “Phase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementation,” Computational Mechanics, 59:981-1001.

Zhang X, Krischok A, Linder C, (2016). “A variational framework to model diffusion induced large plastic deformation and phase field fracture during initial two-phase lithiation of silicon electrodes,” Computer Methods in Applied Mechanics and Engineering, 312:51-77.

Raina A, Linder C, (2015). “A micromechanical model with strong discontinuities for failure in nonwovens at finite deformations,” International Journal of Solids and Structures, 75-76:247-259.

Linder C, Zhang X, (2014). “Three-dimensional finite elements with embedded strong discontinuities to model failure in electromechanical coupled materials,” Computer Methods in Applied Mechanics and Engineering, 273:143-160.

Linder C, Zhang X, (2013). “A marching cubes based failure surface propagation concept for three-dimensional finite elements with non-planar embedded strong discontinuities of higher order kinematics,” International Journal for Numerical Methods in Engineering, 96:339-372.

Linder C, Raina A, (2013). “A strong discontinuity approach on multiple levels to model solids at failure,” Computer Methods in Applied Mechanics and Engineering, 253:558-583.

Linder C, Rosato D, Miehe C, (2011). “New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids,” Computer Methods in Applied Mechanics and Engineering, 200:141-161.

Armero F, Linder C, (2009). “Numerical simulation of dynamic fracture using finite elements with embedded discontinuities,” International Journal of Fracture, 160:119-141.

Linder C, Armero F, (2009). “Finite elements with embedded branching,” Finite Elements in Analysis and Design, 45:280-293.

Armero F, Linder C, (2008). “New finite elements with embedded strong discontinuities in the finite deformation range,” Computer Methods in Applied Mechanics and Engineering, 197:3138-3170.

Linder C, Armero F, (2007). “Finite elements with embedded strong discontinuities for the modeling of failure in solids,” International Journal for Numerical Methods in Engineering, 72:1391-1433.