High-Performance Computing Comparison of Implicit and Explicit Nonlinear Finite Element Simulations of Trabecular Bone

Sabet, Fereshteh A.; Korić, Seid; Idkaidek, Ashraf; Jasiuk, Iwona

doi:10.1016/j.cmpb.2020.105870

Cited by 9 publications

(4 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Model (1) belongs to the class of the simplest, but rather universal models [12]. To calculate the stress (𝜎) as a function of strain (𝜀), it is necessary to know the peak stress value (𝜎 𝑝𝑒𝑎𝑘 ) and the parameters 𝑎 and 𝑏 in equations ( 1) and ( 2).…”

Section: Methodology and Resultsmentioning

confidence: 99%

“…Abnormal loading and inelastic deformations can cause changes in bone architecture, affecting bone remodeling and leading to pathological bone conditions [6][7][8]. Analysis of the strength and function of trabecular bone as a living tissue is a complex multifaceted problem [9][10][11], the contribution to which is important in scientific and practical terms [12,13]; this article deals only with the biomechanical aspects of this problem and is limited to the relationship between the load on bone and bone deformations caused by this load.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling of trabecular bone transition into plastic deformation stage under uniaxial compression

Meltser,

Kolesnikov,

Ostrovsky

et al. 2023

E3S Web Conf.

View full text Add to dashboard Cite

This article deals with the nonlinear behavior of trabecular bone tissue under uniaxial compression. The model of this behavior is a stress-strain curve with an ascending branch, a peak point, and a descending branch. The known stress-strain model predicts the behavior of trabecular bone tissue at the pre-peak and partially at the post-peak stage of deformation. The model does not take into account the transition of trabecular bone into the plastic stage of deformation and the appearance of residual deformations, which (depending on the scale) may be physiologically unacceptable. The aim of this work is to predict the transition point of trabecular bone into the plastic state. The article proposes and implements an approach based on the joint application of the stress-strain model and the differential energy criterion of brittle fracture. This study contributes to the development of new models, the use of which improves the possibilities of analyzing the mechanical behavior of trabecular bone tissue under mechanical impact, which is important for the practice of load rationing in traumatology and sports medicine. The small amount of initial data is a positive quality of the proposed approach to modeling the transition of trabecular bone into the plastic state. Given the small volume of studies using the proposed approach, it is necessary to continue research in this direction, despite the good agreement of the modeling results with the experimental data known from the literature.

show abstract

Section: Methodology and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling of trabecular bone transition into plastic deformation stage under uniaxial compression

Meltser,

Kolesnikov,

Ostrovsky

et al. 2023

E3S Web Conf.

View full text Add to dashboard Cite

show abstract

“…One of the methods of modeling structures as mechanical analogs of trabecular bone tissue is the finite element method (FEM) [32,33]. This is a computer-based method, the practical application and capabilities of which positively correlate with the development of computer technologies.…”

Section: Methodological Aspects Of Modeling Trabecular Bone Tissuementioning

confidence: 99%

Damage Function of a Quasi-Brittle Material, Damage Rate, Acceleration and Jerk during Uniaxial Compression: Model and Application to Analysis of Trabecular Bone Tissue Destruction

Kolesnikov

2021

Symmetry

View full text Add to dashboard Cite

A diversity of quasi-brittle materials can be observed in various engineering structures and natural objects (rocks, frozen soil, concrete, ceramics, bones, etc.). In order to predict the condition and safety of these objects, a large number of studies aimed at analyzing the strength of quasi-brittle materials has been conducted and presented in publications. However, at the modeling level, the problem of estimating the rate and acceleration of destruction of a quasi-brittle material under loading remains relevant. The purpose of the study was to substantiate the function of damage to a quasi-brittle material under uniaxial compression, determine the rate, acceleration and jerk of the damage process, and also to apply the results obtained to predicting the destruction of trabecular bone tissue. In accordance with the purpose of the study, the basic concepts of fracture mechanics and standard methods of mathematical modeling were used. The proposed model is based on the application of the previously obtained differentiable damage function without parameters. The results of the study are presented in the form of plots and analytical relations for computing the rate, acceleration and jerk of the damage process. Examples are given. The predicted peak of the combined effect of rate, acceleration and jerk of the damage process are found to be of practical interest as an additional criterion for destruction. The simulation results agree with the experimental data known from the available literature.

show abstract

“…The static incremental step strategy is commonly used to approximate the equilibrium path [32]. At present, the algorithms for solving incremental steps mainly include implicit algorithms (the so-called Newton-like algorithms) and explicit algorithms [39]. The essence of an implicit algorithm is to use a kind of iterative method to directly solve the algebraic system of static balance described in the incremental form [40].…”

Section: Introductionmentioning

confidence: 99%

Size Effect of Shear Strength of Recycled Concrete Beam without Web Reinforcement: Testing and Explicit Finite Element Simulation

et al. 2021

View full text Add to dashboard Cite

Recycled concrete is a form of low-carbon concrete with great importance. The explicit finite element method is an economical and feasible method for analyzing static concrete structures, such as those made of recycled concrete. The shear strength of regular concrete beams has size effects. In this study, a group of physical tests on the size effect of the shear strength of recycled concrete beams without web reinforcement was carried out under the condition of a constant shear span ratio. The research results show that the shear strength of the test beam generally decreases with the increase in beam section height, and a regression formula of the shear strength was obtained, which can formulate this effect. The rationale and feasibility of the explicit finite element method solving the ultimate load of concrete structures (which can derive the shear strength) were briefly demonstrated, and an explicit finite element simulation of test beams was carried out. Results showed an obvious and phenomenologically regular size effect of the shear strength of recycled concrete beams without web reinforcement, which can be simulated by the explicit finite element method. This research aims to promote the study of low-carbon recycled concrete structures to a certain extent and encourage the application of economic explicit finite element methods for the static analysis of concrete structures.

show abstract

High-Performance Computing Comparison of Implicit and Explicit Nonlinear Finite Element Simulations of Trabecular Bone

Cited by 9 publications

References 45 publications

Modeling of trabecular bone transition into plastic deformation stage under uniaxial compression

Modeling of trabecular bone transition into plastic deformation stage under uniaxial compression

Damage Function of a Quasi-Brittle Material, Damage Rate, Acceleration and Jerk during Uniaxial Compression: Model and Application to Analysis of Trabecular Bone Tissue Destruction

Size Effect of Shear Strength of Recycled Concrete Beam without Web Reinforcement: Testing and Explicit Finite Element Simulation

Contact Info

Product

Resources

About