A continuum thermal stress theory for crystals based on interatomic potentials

Tang, Qiheng; Wang, Tzuchiang

doi:10.1007/s11433-013-5371-3

Cited by 6 publications

(4 citation statements)

References 33 publications

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“…This is corresponding to the compression deformation of 5%, 7% and 10%. According to experiment [45] and theoretical calculation [46], the contribution of thermal expansion to the total deformation is small in our simulation. For example, as the machining velocity is 1807.5 m/s, the average temperature of the chip is about 1250 K and the corresponding thermal strain is about 1.3%, which is far less than the compressive strain 10%.…”

Section: Impact Cutting Speedmentioning

confidence: 76%

Chip formation dependence of machining velocities in nano-scale by molecular dynamics simulations

Tang

2014

Sci. China Technol. Sci.

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In this study, molecular dynamics simulations were carried out to study the effect of machining velocities on the mechanism of chip formation in nano-metric copper. A wide range of cutting velocities was performed from 10 to 2000 m/s, and the microstructure's evolution from a crystalline state to an amorphous state was studied. At the low machining velocity, dislocations were generated from the surface in front of the tool, and the immobile dislocation deduced by the cross slip of dislocation was observed. At the high machining velocity, no crystal dislocation nucleated, but instead disorder atoms were found near the tool. Temperature near the tool region increased with the increasing machining velocities, and the temperature had an important effect on the phase transition of the crystal structure.

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Section: Impact Cutting Speedmentioning

confidence: 76%

Chip formation dependence of machining velocities in nano-scale by molecular dynamics simulations

Tang

2014

Sci. China Technol. Sci.

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“…The thermal strain at temperature T is obtained by 26 where T 0 = 273 K, the coefficient of thermal expansion α can be obtained easily by the experimental results 27 or theoretical method 28 .…”

Section: Methodsmentioning

confidence: 99%

A strain rate dependent thermo-elasto-plastic constitutive model for crystalline metallic materials

Chen

Wang

2021

Sci Rep

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The strain rate and temperature effects on the deformation behavior of crystalline metal materials have always been a research hotspot. In this paper, a strain rate dependent thermo-elasto-plastic constitutive model was established to investigate the deformation behavior of crystalline metal materials. Firstly, the deformation gradient was re-decomposed into three parts: thermal part, elastic part and plastic part. Then, the thermal strain was introduced into the total strain and the thermo-elastic constitutive equation was established. For the plastic behavior, a new relation between stress and plastic strain was proposed to describe the strain rate and temperature effects on the flow stress and work-hardening. The stress–strain curves were calculated over wide ranges of strain rates (10–6–6000 s−1) and temperatures (233–730 K) for three kinds of crystalline metal materials with different crystal structure: oxygen free high conductivity copper for face centered cubic metals, Tantalum for body centered cubic metals and Ti–6Al–4V alloy for two phase crystal metals. The comparisons between the calculation and experimental results reveal that the present model describes the deformation behavior of crystalline metal materials well. Also, it is concise and efficient for the practical application.

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“…When an undeformed body is heated up from temperature T 0 to T , the thermal strain ε T is given by [36] …”

Section: Thermal Strainmentioning

confidence: 99%

A new thermo-elasto-plasticity constitutive theory for polycrystalline metals

2015

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In this study, the behavior of polycrystalline metals at different temperatures is investigated by a new thermo-elasto-plasticity constitutive theory. Based on solid mechanical and interatomic potential, the constitutive equation is established using a new decomposition of the deformation gradient. For polycrystalline copper and magnesium, the stress-strain curves from 77 to 764 K (copper), and 77 to 870 K (magnesium) under quasi-static uniaxial loading are calculated, and then the calculated results are compared with the experiment results. Also, it is determined that the present model has the capacity to describe the decrease of the elastic modulus and yield stress with the increasing temperature, as well as the change of hardening behaviors of the polycrystalline metals. The calculation process is simple and explicit, which makes it easy to implement into the applications.

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A continuum thermal stress theory for crystals based on interatomic potentials

Cited by 6 publications

References 33 publications

Chip formation dependence of machining velocities in nano-scale by molecular dynamics simulations

Chip formation dependence of machining velocities in nano-scale by molecular dynamics simulations

A strain rate dependent thermo-elasto-plastic constitutive model for crystalline metallic materials

A new thermo-elasto-plasticity constitutive theory for polycrystalline metals

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