An infrared set-up for continuum thermomechanics

Chrysochoos, André; Dupre, J. C.

doi:10.21611/qirt.1992.019

Cited by 14 publications

(12 citation statements)

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“…We find again these different terms in the expression of heat equation, written here assuming a Fourier conduction law ( q = -h.grad(T)) where 1 is the thermal conduction tensor, assumed to be constant : wLhr right hand side of the equation, is the volume heat source, that can be computed by evaluating the left hand side of (6) thanks to temperature measurements [3].…”

Section: =Xp>mentioning

confidence: 81%

Phenomenological Constitutive Equations for Numerical Simulations of SMA's Structures. Effects of Thermomechanical Couplings

et al. 1996

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Tension-compression tests at different room temperatures and at different strain rates have been performed on Shape Memory Alloys (CuZnAl, NiTi) using a thermomechanical device. The experiments underline the main role of the temperature variations induced by the deformation process on the stress-strain curves. These variations are essentially due to the latent heat of phase change and the analysis of the associated energy balances shows that the intrinsic dissipated energy remains very small compared to deformation work or latent heat of phase change. On the basis of these results, a behavioral model is proposed that assumes an intrinsic dissipation identically equal to zero and that considere anisothermal deformation processes. This model, written under the formalism of Generalized Standard Materials takes into account the thermoelastic couplings and considers two self-accommodating martensite variants. It is implemented in a finite element code realized to predict the effects of thermomechanical couplings. An implicit integration scheme is used to derive at each step in time the fields stress, strain, temperature, and volume proportions of phases. At each step and due to the thermomechanical coupling, we have to solve non-symmetric linear systems. Numerical simulations are shown first to verify the coherence with the experimental results obtained under uniaxial loading, and secondly to underline the practical interest of such an approach to design SMA's structures

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Section: =Xp>mentioning

confidence: 81%

Phenomenological Constitutive Equations for Numerical Simulations of SMA's Structures. Effects of Thermomechanical Couplings

et al. 1996

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“…The first term on the right is also known as the shear-heating term where v is the efficiency of converting mechanical work into heat at large deformation. v is of the order of 0.9 for most materials (CHRYSOCHOOS and DUPRE, 1992). Shear heating only describes the temperature changes owing to dissipation where _ e diss ij is the plastic and viscous strain rates.…”

Section: Energy Equationmentioning

confidence: 99%

Multiscale Brittle-Ductile Coupling and Genesis of Slow Earthquakes

Regenauer-Lieb

Yuen

2008

Pure appl. geophys.

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We present the first attempt to explain slow earthquakes as cascading thermal-mechanical instabilities. To attain this goal we investigate brittle-ductile coupled thermal-mechanical simulation on vastly different time scales. The largest scale model consists of a cross section of a randomly perturbed elasto-viscoplastic continental lithosphere on the order of 100 9 100 km scale with no other initial structures. The smallest scale model investigates a km-scale subsection of the large model and has a local resolution of 40 9 40 m. The model is subject to a constant extension velocity applied on either side. We assume a free top surface and with a zero tangential stress along the other boundaries. Extension is driven by velocity boundary conditions of 1 cm/a applied on either side of the model. This is the simplest boundary condition, and makes it an ideal starting point for understanding the behavior of a natural system with multiscale brittle-ductile coupling. Localization feedback is observed as faulting in the brittle upper crust and ductile shearing in an elasto-viscoplastic lower crust. In this process brittle faulting may rupture at seismogenic rates, e.g., at 10 2 -10 3 ms -1 , whereas viscous shear zones propagate at much slower rates, up to 3 9 10 -9 ms -1 . This sharp contrast in the strain rates leads to complex short-time-scale interactions at the brittle-ductile transition. We exploit the multiscale capabilities from our new simulations for understanding the underlying thermo-mechanics, spanning vastly different, time-and length-scales.

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“…The heat diffusion equation in the presence of plastic dissipation is usually formulated as (Chrysochoos and Dupré [2]):…”

Section: Heat Diffusion Equation In the Presence Of Plastic Dissipationmentioning

confidence: 99%

Study of the intrinsic dissipation associated to the plastic work induced by a ball impact

Bouferra¹,

Pron²,

Henry³

et al. 2005

International Journal of Thermal Sciences

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An infrared set-up for continuum thermomechanics

Cited by 14 publications

References 0 publications

Phenomenological Constitutive Equations for Numerical Simulations of SMA's Structures. Effects of Thermomechanical Couplings

Phenomenological Constitutive Equations for Numerical Simulations of SMA's Structures. Effects of Thermomechanical Couplings

Multiscale Brittle-Ductile Coupling and Genesis of Slow Earthquakes

Study of the intrinsic dissipation associated to the plastic work induced by a ball impact

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