A continuum-atomistic multi-scale technique for nonlinear behavior of nano-materials

Khoei, A.R.; Sameti, A. Rezaei; Nikravesh, Y.

doi:10.1016/j.ijmecsci.2018.08.012

Cited by 23 publications

(3 citation statements)

References 59 publications

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“…Following these initial works, many thermo-mechanical contact studies have appeared, studying the extension to wear (Strömberg et al, 1996;Stupkiewicz and Mróz, 1999;Molinari et al, 2001), rough-surface contact (Willner, 1999) multiscale contact (Temizer and Wriggers, 2010;Temizer, 2014Temizer, , 2016 and adhesion (Dittmann et al, 2019). Beyond that, there have also been many advancements in the computational description of thermo-mechancial contact (Agelet de Saracibar, 1998;Laursen, 1999;Strömberg, 1999;Pantuso et al, 2000;Adam and Ponthot, 2002;Xing and Makinouchi, 2002;Bergman and Oldenburg, 2004;Rieger and Wriggers, 2004;Hüeber and Wohlmuth, 2009;Dittmann et al, 2014;Khoei et al, 2018;Seitz et al, 2019). General chemo-mechanical contact models go back even further -to the work of Derjaguin et al (1975) that computed molecular, e.g.…”

Section: List Of Main Field Variables and Their Setsmentioning

confidence: 99%

A chemo-mechano-thermodynamical contact theory for adhesion, friction and (de)bonding reactions

Sauer¹,

Duong²,

Mandadapu³

2020

Preprint

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This work presents a self-contained continuum formulation for coupled chemical, mechanical and thermal contact interactions. The formulation is very general and hence admits arbitrary geometry, deformation and material behavior. All model equations are derived rigorously from the balance laws of mass, momentum, energy and entropy in the framework of irreversible thermodynamics, thus exposing all the coupling present in the field equations and constitutive relations. In the process, the conjugated kinematic and kinetic variables for mechanical, thermal and chemical contact are identified, and the analogies between mechanical, thermal and chemical contact are highlighted. Particular focus is placed on the thermodynamics of chemical bonding distinguishing between exothermic and endothermic contact reactions. Distinction is also made between long-range, non-touching surface interactions and short-range, touching contact. For all constitutive relations examples are proposed and discussed comprehensively with particular focus on their coupling. Finally, three analytical test cases are presented that illustrate the thermo-chemo-mechanical contact coupling and are useful for verifying computational models. While the main novelty is the extension of existing contact formulations to chemical contact, the presented formulation also sheds new light on thermo-mechanical contact, since it is consistently derived from basic principles using only few assumptions.

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Section: List Of Main Field Variables and Their Setsmentioning

confidence: 99%

A chemo-mechano-thermodynamical contact theory for adhesion, friction and (de)bonding reactions

Sauer¹,

Duong²,

Mandadapu³

2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Following these initial works, many thermo-mechanical contact studies have appeared, studying the extension to wear [5–7], rough-surface contact [8], multiscale contact [9–11], and adhesion [12]. Beyond that, there have also been many advancements in the computational description of thermo-mechanical contact [13–24].…”

Section: Introductionmentioning

confidence: 99%

A chemo-mechano-thermodynamical contact theory for adhesion, friction, and (de)bonding reactions

Sauer

Duong

Mandadapu

2021

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

This work presents a self-contained continuum formulation for coupled chemical, mechanical, and thermal contact interactions. The formulation is very general and, hence, admits arbitrary geometry, deformation, and material behavior. All model equations are derived rigorously from the balance laws of mass, momentum, energy, and entropy in the framework of irreversible thermodynamics, thus exposing all the coupling present in the field equations and constitutive relations. In the process, the conjugated kinematic and kinetic variables for mechanical, thermal, and chemical contact are identified, and the analogies between mechanical, thermal, and chemical contact are highlighted. Particular focus is placed on the thermodynamics of chemical bonding distinguishing between exothermic and endothermic contact reactions. Distinction is also made between long-range, non-touching surface interactions and short-range, touching contact. For all constitutive relations, examples are proposed and discussed comprehensively with particular focus on their coupling. Finally, three analytical test cases are presented that illustrate the thermo-chemo-mechanical contact coupling and are useful for verifying computational models. Although the main novelty is the extension of existing contact formulations to chemical contact, the presented formulation also sheds new light on thermo-mechanical contact, because it is consistently derived from basic principles using only a few assumptions.

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“…Research on mechanical properties and behavior of nanostructures including nanobeams, nanoplates, nanoshells, and nanotubes has shown remarkable growth in the last decade [1][2][3][4][5][6][7][8]. Scientists use both computational methods such as density functional theory (DFT) [9,10], molecular dynamics (MD) [11,12], molecular mechanics (MM) [13,14], and continuum mechanics [1][2][3][4][5][6][7][8] as well as experimental techniques including atomic force microscopy [15,16] and optonanomechanics [17,18] to analyze various mechanical properties of nanostructures and nanosystems such as their elastic/plastic behavior, fracture, and vibration. However, due to the practical limitations and high cost of experimental techniques, modeling and simulation still play critical roles in understanding the mechanical behavior of nanomaterials.…”

Section: Introductionmentioning

confidence: 99%

Effects of combined material and geometric nonlinearities on dynamic response of embedded nanobeams

Fakhrabadi¹

2020

Phys. Scr.

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Exact prediction of the mechanical behavior of nano-sensors and nano-actuators directly depends on the models applied to analyze their nano-components. From their dynamic behavior point of view, despite many studies related to the geometrical nonlinearities in modeling the nanostructures, one of the main issues that has not been addressed appropriately is the effects of material nonlinearity. Hence, this paper intends to fill this gap and deals with an investigation of combined geometrical and material nonlinearities on the nonlinear dynamic response of the embedded nanobeams in their free vibration as well as the primary and superharmonic resonances. The material nonlinearity considered in this research is formulated based on the sum of linear and cubic relations between the stress and strain. The results reveal that, for the material and boundary conditions of the embedded nanobeam studied in this research, the material nonlinearity tries to cause softening effects while the geometrical nonlinearity attempts to make hardening influences. The competition between these two effects leads to interesting nonlinear behaviors of the nanobeam for different dimensions and dynamic regimes that are scrutinized in this paper. In addition, the effects of applying external magnetic fields on the nonlinear responses of the nanobeams are investigated.

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A continuum-atomistic multi-scale technique for nonlinear behavior of nano-materials

Cited by 23 publications

References 59 publications

A chemo-mechano-thermodynamical contact theory for adhesion, friction and (de)bonding reactions

A chemo-mechano-thermodynamical contact theory for adhesion, friction and (de)bonding reactions

A chemo-mechano-thermodynamical contact theory for adhesion, friction, and (de)bonding reactions

Effects of combined material and geometric nonlinearities on dynamic response of embedded nanobeams

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