Finite volume analysis of nonlinear thermo-mechanical dynamics of shape memory alloys

Wang, Linxiang X.; Melnik, Roderick V. N.

doi:10.1007/s00231-006-0129-3

Cited by 22 publications

(12 citation statements)

References 23 publications

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“…In [25] the method was applied to the analysis of macroscale damping effects induced by the first-order martensite phase transformations in a SMA rod. It was also shown that both mechanically and thermally induced phase transformations in SMA, as well as hysteresis effects, can efficiently be modelled by the finite volume method developed in [67] where it was applied in various one-dimensional (rods) and two-dimensional (patches) situations. A unified variational framework was applied to the analysis of SMA-based thin films [68] where phase nucleation under mechanical loading were reported.…”

Section: Dynamic Models and Their Approximationsmentioning

confidence: 98%

Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies

Wang

Melnik

2012

Mechatronics

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Section: Dynamic Models and Their Approximationsmentioning

confidence: 98%

Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies

Wang

Melnik

2012

Mechatronics

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“…Again, the exact mechanism of such associated effects at an elevated temperature within the biological tissue during thermal therapies are not completely elucidated yet, but significant recent developments have been devoted to this area of research utilizing both experimental and computational studies [23,78]. From a computational perspective, the coupling between thermal and mechanical fields, e.g., for elastic tissues such as muscles, etc., can be done by the development of coupled models of thermoelasticity, as well as efficient numerical methods for their solution, e.g., [83][84][85][86][87][88][89][90][91][92][93][94][95]. Moreover, the development of such models also includes complex nonlinear cases where numerous advances have been made in the improvement of numerical methodologies, e.g., [96][97][98][99].…”

Section: Multiscale Models For Biological Tissuesmentioning

confidence: 99%

Domain Heterogeneity in Radiofrequency Therapies for Pain Relief: A Computational Study with Coupled Models

Singh

Melnik

2020

Bioengineering

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The objective of the current research work is to study the differences between the predicted ablation volume in homogeneous and heterogeneous models of typical radiofrequency (RF) procedures for pain relief. A three-dimensional computational domain comprising of the realistic anatomy of the target tissue was considered in the present study. A comparative analysis was conducted for three different scenarios: (a) a completely homogeneous domain comprising of only muscle tissue, (b) a heterogeneous domain comprising of nerve and muscle tissues, and (c) a heterogeneous domain comprising of bone, nerve and muscle tissues. Finite-element-based simulations were performed to compute the temperature and electrical field distribution during conventional RF procedures for treating pain, and exemplified here for the continuous case. The predicted results reveal that the consideration of heterogeneity within the computational domain results in distorted electric field distribution and leads to a significant reduction in the attained ablation volume during the continuous RF application for pain relief. The findings of this study could provide first-hand quantitative information to clinical practitioners about the impact of such heterogeneities on the efficacy of RF procedures, thereby assisting them in developing standardized optimal protocols for different cases of interest.

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“…The original 2D approach of Fryer [ 5 , 6 ] was subsequently extended to three dimensions by Bailey and Cross [ 7 , 8 ]. In addition, the finite volume method has been applied to a number of fluid-solid interaction problems, and includes the assumption of viscoelasticity of one or more materials [ 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 ].…”

Section: Introductionmentioning

confidence: 99%

Numerical and Experimental Investigations of Polymer Viscoelastic Materials Obtained by 3D Printing

et al. 2021

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The aim of this research is to determine the relaxation and creep modulus of 3D printed materials, and the numerical research is based on the finite volume method. The basic material for determining these characteristics is ABS (acrylonitrile butadiene styrene) plastic as one of the most widely used polymeric materials in 3D printing. The experimental method for determining the relaxation functions involved the use of a creep test, in which a constant increase of the stress of the material was performed over time to a certain predetermined value. In addition to this test, DMA (dynamic mechanical analysis) analysis was used. Determination of unknown parameters of relaxation functions in analytical form was performed on the basis of the expression for the storage modulus in the frequency domain. The influence of temperature on the values of the relaxation modulus is considered through the determination of the shift factor. Shift factor is determined on the basis of a series of tests of the relaxation function at different constant temperatures. The shift factor is presented in the form of the WLF (Williams-Landel-Ferry) equation. After obtaining such experimentally determined viscoelastic characteristics with analytical expressions for relaxation modulus and shift factors, numerical analysis can be performed. For this numerical analysis, a mathematical model with an incremental approach was used, as developed in earlier works although with a certain modification. In the experimental analysis, the analytical expression for relaxation modulus in the form of the Prony series is used, and since it is the sum of exponential functions, this enables the derivation of a recursive algorithm for stress calculation. Numerical analysis was performed on several test cases and the results were compared with the results of the experiment and available analytical solutions. A good agreement was obtained between the results of the numerical simulation and the results of the experiment and analytical solutions.

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Finite volume analysis of nonlinear thermo-mechanical dynamics of shape memory alloys

Cited by 22 publications

References 23 publications

Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies

Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies

Domain Heterogeneity in Radiofrequency Therapies for Pain Relief: A Computational Study with Coupled Models

Numerical and Experimental Investigations of Polymer Viscoelastic Materials Obtained by 3D Printing

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