On Nonlocal Modeling in Continuum Mechanics

Martowicz, Adam

doi:10.7494/mech.2015.34.2.41

Cited by 2 publications

(2 citation statements)

References 43 publications

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“…Figure 15 presents the plot of the strain rate to make the reference to its maximum allowed value, which is 0.00038 s −1 , as determined in Sect. 4.…”

Section: Numerical Case Study Application To Gfbmentioning

confidence: 99%

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Nonlocal elasticity in shape memory alloys modeled using peridynamics for solving dynamic problems

et al. 2019

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The work is primarily devoted to the peridynamic model elaborated for a solid body made of shape memory alloys (SMAs). The superelasticity effect is taken into consideration as well as its practical applications. Hence, the numerical simulations, making use of the phenomena of superelasticity, are carried out for the model of an SMA wire to investigate mechanical energy dissipation. The nonlocal peridynamic model of an SMA component is derived based on the theory proposed by Lagoudas-introduced to describe the phenomenon of solid phase transitions that occur in SMA. The results of the conducted experimental work

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“…Figure 15 presents the plot of the strain rate to make the reference to its maximum allowed value, which is 0.00038 s −1 , as determined in Sect. 4.…”

Section: Numerical Case Study Application To Gfbmentioning

confidence: 99%

“…In other words, nonlocality has arisen as a sort of remedy for the identified deficiencies of modeling methods. This fact is also of particular importance in dynamics since nonlocal modeling enables efficient control of the dispersion properties of the modeled medium [4].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal elasticity in shape memory alloys modeled using peridynamics for solving dynamic problems

et al. 2019

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Experimental and numerical assessment of the characteristics describing superelasticity in shape memory alloys – influence of boundary conditions

Bryła

Martowicz

2017

ITM Web Conf.

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Abstract. Relatively recent discovery of shape memory alloys (SMA) justifies ongoing research on their properties and an attempt to explain the physical phenomenon responsible for the characteristic behaviour of SMA. Moreover, there have been reported many successful commercial SMA applications to medical cases, mostly based on superelasticity. Even though a wide application range is confirmed, its further contribution growth is currently not seen -mostly due to deficiency of reliable modelling techniques. Recently, lively discussion in the SMA academic community is observed, which deals with modelling issues and numerical implementation. Considering the current trends, the authors of the work make an attempt at qualitative analysis of the material properties for superelasticity. The material characteristics -found using static stretching tests -are sensitive to the variation of local stresses induced in the area where a SMA sample is mounted in a fatigue testing machine. As shown, the phenomena present at the clamping area seem to initiate and govern the process of the solid phase transformation within the entire SMA body. The overall objective of the presented research is to assess the influence of the above stated boundary conditions on the properties of selected types of SMA, using both experimental and numerical results.

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On Nonlocal Modeling in Continuum Mechanics

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Cited by 2 publications

References 43 publications

Nonlocal elasticity in shape memory alloys modeled using peridynamics for solving dynamic problems

Nonlocal elasticity in shape memory alloys modeled using peridynamics for solving dynamic problems

Experimental and numerical assessment of the characteristics describing superelasticity in shape memory alloys – influence of boundary conditions

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