Effects of strain rate, temperature and thermomechanical coupling on the finite strain deformation of glassy polymers

Arruda, Ellen M.; Boyce, Mary C.; Jayachandran, R.

doi:10.1016/0167-6636(94)00034-e

Cited by 530 publications

(283 citation statements)

References 14 publications

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“…This behaviour makes it challenging to describe the whole flow curves. Different constitutive material models were suggested to describe such flow curves [6,7,40]. The authors examined various models; the most suitable one capable of describing various hardening and softening stages of the flow curves is the constitutive material model after Nasraoui et al [2].…”

Section: Three-point Bending Testmentioning

confidence: 99%

“…In particular, various studies investigated response of PMMA to quasi-static and dynamic conditions. For instance, Arruda et al [6] analyzed the effect of temperature on compression of PMMA in quasi-static and intermediate strain-rate regions. They found that softening of the material occurring after its yield was a combined effect of strain hardening/softening and thermal softening.…”

Section: Introductionmentioning

confidence: 99%

“…At large strains, the material hardens [13] (more information about the true stress -true strain response of PMMA can be found in Refs. [6,13]). This feature of stress -strain curves of PMMA makes it cumbersome to model.…”

Section: Introductionmentioning

confidence: 99%

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Temperature-dependent mechanical behaviour of PMMA: Experimental analysis and modelling

2017

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b s t r a c tAn experimental study of temperature-dependent mechanical behaviour of Poly-methyl methacrylate (PMMA) was performed at a range of temperatures (20 C, 40 C, 60 C and 80 C) below its glass transition point (108 C) under uniaxial tension and three-point bending loading conditions. This study was accompanied by simulations aimed at identification of material parameters for two different constitutive material models. Experimental flow curves obtained for PMMA were used in elasto-plastic analysis, while a sim-flow optimization tool was employed for a two-layer viscoplasticity model. The temperature increase significantly affected mechanical behaviour of PMMA, with quasi-brittle fracture at room temperature and super-plastic behaviour (ε>110%) at 80 C. The two-layer viscoplasticity material model was found to agree better with the experimental data obtained for uniaxial tension than the elasto-plastic description.

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Section: Three-point Bending Testmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Temperature-dependent mechanical behaviour of PMMA: Experimental analysis and modelling

2017

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“…Isothermal uniaxial compression experiments carried out by Arruda et al [2] on the cubic polymethylmethacrylate (PMMA) specimens, see Fig.2a, at different temperature levels point out the three distinct phenomena for increasing temperature values: i) The softening in the post-yield kinematical hardening phase, ii) the drop in the yield stress and iii) the decrease in the amount of stress softening, see Fig.1a. Increase in the mobility of macromolecules at elevated temperatures causes the material to be more prone to deform plastically.…”

Section: Introductionmentioning

confidence: 99%

“…The evolution law of plastic strains is adopted from Argon's double kink theory [1,3]. Temperature-induced softening is incorporated by thermal disassociation of the secondary bonds in the polymer network [6,2]. In the FE analysis of the coupled BVPs, the staggered scheme is employed [7].…”

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confidence: 99%

Coupled Finite Thermoviscoplasticity of Glassy Polymers

Göktepe

Miehé

2006

Proc Appl Math and Mech

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The contribution is concerned with the constitutive modeling of the temperature and thermomechanical coupling effects on the rate-dependent finite plastic behavior of glassy polymers. In contrast to the existing kinematic approaches to the finite plasticity of glassy polymers, we propose a distinct kinematic framework constructed in the logarithmic strain space [5]. The logarithmic framework is extremely attractive due to the fact that it allows a very efficient algorithmic treatment of finite plasticity akin to the geometrically linear theory. The evolution law of plastic strains is adopted from Argon's double kink theory [1,3]. Temperature-induced softening is incorporated by thermal disassociation of the secondary bonds in the polymer network [6,2]. In the FE analysis of the coupled BVPs, the staggered scheme is employed [7]. The proposed formulation is validated by simulating various experimental data.

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Laboratory‐developed contact models controlling instability on frictional faults

Selvadurai

Glaser

2015

JGR Solid Earth

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Laboratory experiments were performed on a polymethyl methacrylate (PMMA)-PMMA frictional interface in a direct shear apparatus in order to gain understanding of fault dynamics leading to gross rupture. Actual asperity sizes and locations along the interface were characterized using a pressure-sensitive film. Slow aseismic slip accumulated nonuniformly along the fault and showed dependency on the applied normal force-increased normal force resulted in higher slip gradients. The slow slip front propagated from the trailing (pushed) edge into a region of more densely distributed asperities at rates between 1 and 9.5 mm/s. Foreshocks were detected and displayed impulsive signals with source radii ranging between 0.21 and 1.09 mm; measurements made using the pressure-sensitive film were between 0.05 and 1.2 mm. The spatiotemporal clustering of foreshocks and their relation to the elastodynamic energy released was dependent on the normal force. In the region where foreshocks occurred, qualitative optical measurements of the asperities along the interface were used to visualize dynamic changes occurring during the slow slip phase. To better understand the nucleation process, a quasi-static asperity finite element (FE) model was developed and focused in the region where foreshocks clustered. The FE model consisted of 172 asperities, located and sized based on pressure-sensitive film measurements. The numerical model provides a plausible explanation as to why foreshocks cluster in space and observed a normal force dependency and lend credence to Ohnaka's nucleation model.

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Effects of strain rate, temperature and thermomechanical coupling on the finite strain deformation of glassy polymers

Cited by 530 publications

References 14 publications

Temperature-dependent mechanical behaviour of PMMA: Experimental analysis and modelling

Temperature-dependent mechanical behaviour of PMMA: Experimental analysis and modelling

Coupled Finite Thermoviscoplasticity of Glassy Polymers

Laboratory‐developed contact models controlling instability on frictional faults

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