Computational analysis of tensile damage and failure of mineralized tissue assisted with experimental observations

Abstract

In this study, deformation and failure mechanisms of mineralized tissue (bone) were investigated both experimentally and computationally by performing diametral compression tests on millimetric disk specimens and conducting finite element analysis in which a granular micromechanics-based nonlinear user-defined material model is implemented. The force–displacement relationship obtained in the simulation agreed well with the experimental results. The simulation was also able to capture location of the failure initiation observed in the experiment, which is inside out from the hole along the loading axis. Furthermore, propagation of micro-sized cracks into failure was observed both in the experiment using simultaneous slow-motion microscopy imaging and in the simulation analyzing the local distortion and local volume change within the specimen. The anisotropy evolution was found to be significant around the hole along the loading axis by evaluating the anisotropy index computed using finite element results. In conclusion, this work revealed that the prediction capability of granular micromechanics-based user-defined nonlinear material model (UMAT) is promising considering the match between the results and observations from the physical experiment and finite element analysis such as force–displacement relationship and failure initiation/pattern. This work has also shown that the tensile damage and failure of mineralized tissues can be characterized using diametral compression (split tension) test.

Computation of brittle fracture propagation in strain gradient materials by the FEniCS library

“…Using a variational approach has many advantages [43], one being that it is possible to derive the boundary conditions, ensuring well-posedness of the problem [44,45]. Furthermore, the weak form can be simply recovered [46][47][48][49][50][51], this being convenient if the problem is solved using a numerical method based on weak forms, such as finite-element methods [52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70]. The maximum energy-release principle used in this work requires the specification of the energy released in damaging [4,71,72].…”

Engineering peptide-polymer hybrids for targeted repair and protection of cervical lesions

“…We have also used μmechanical stress-analysis ( Figure 6 ) to show the effects of such stress concentrations on the mechanisms that govern overall fatigue failure behavior of the d-a interface ( 82 ). Predictions were compared to experimental data to illustrate the predictive power of our methodology ( 91 ).…”

“…The current efforts, which are typically based upon classical elastic continuum mechanics or experimental approaches based upon the classical theories are inadequate. Refined modeling and experiments, that aim to bridge the response at various scales such as the micromechanically based models that have the capability of connecting the micro-scale mechanisms to the macro-scale phenomena ( 82 , 85 , 92 , 93 ) can advance our understanding of the effectiveness of proposed treatments.…”

Preface to the Special Issue on bone remodeling

“…Misra and Sarikaya 7 analyze the deformation and failure mechanisms of mineralized bone subjected to diametral compression tests, combining an experimental and numerical study based on granular micromechanics and a nonlinear material model. The computed force-displacement relation is in good agreement with the measured one.…”