A constitutive model for ice as a damaging visco-elastic material

Sjölind, Stig-Göran

doi:10.1016/0165-232x(87)90017-6

Cited by 30 publications

(6 citation statements)

References 8 publications

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“…Previously, Sjölind (1987) and Karr and Choi (1989) postulated the delayed elastic strain to be a function of the effective stress, which is a function of the damage variable. In Duddu and Waisman (2012), we followed their description.…”

Section: Criticisms By Gagliardini and Others (2013)mentioning

confidence: 99%

On the continuum damage mechanics approach to modeling of polar ice fracture: a reply

Duddu¹,

Waisman

2013

J. Glaciol.

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Section: Criticisms By Gagliardini and Others (2013)mentioning

confidence: 99%

On the continuum damage mechanics approach to modeling of polar ice fracture: a reply

Duddu¹,

Waisman

2013

J. Glaciol.

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“…In fact, there are few studies that couple damage to viscoelasticity in order to include time and rate effects on damage evolution (e.g. Schapery, 1975Schapery, , 1987Harper, 1986Harper, , 1989Simo, 1987;Sjolind, 1987;Weitsman, 1988;Peng, 1992;Gazonas, 1993). Schapery's viscoelastic-damage model (Schapery, 1975(Schapery, , 1987, which has been modified by Schapery (1999) to include viscoplasticity, is currently used to reasonably predict the damage behavior of asphaltic materials (e.g.…”

Section: Introductionmentioning

confidence: 98%

A thermo-viscoelastic–viscoplastic–viscodamage constitutive model for asphaltic materials

Darabi

Al‐Rub

Masad

et al. 2011

International Journal of Solids and Structures

188

109

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a b s t r a c tA temperature-dependent viscodamage model is proposed and coupled to the temperature-dependent Schapery's nonlinear viscoelasticity and the temperature-dependent Perzyna's viscoplasticity constitutive model presented in Abu Al-Rub et al. (2009) and Huang et al. (in press) in order to model the nonlinear constitutive behavior of asphalt mixes. The thermo-viscodamage model is formulated to be a function of temperature, total effective strain, and the damage driving force which is expressed in terms of the stress invariants of the effective stress in the undamaged configuration. This expression for the damage force allows for the distinction between the influence of compression and extension loading conditions on damage nucleation and growth. A systematic procedure for obtaining the thermo-viscodamage model parameters using creep test data at different stress levels and different temperatures is presented. The recursive-iterative and radial return algorithms are used for the numerical implementation of the nonlinear viscoelasticity and viscoplasticity models, respectively, whereas the viscodamage model is implemented using the effective (undamaged) configuration concept. Numerical algorithms are implemented in the well-known finite element code Abaqus via the user material subroutine UMAT. The model is then calibrated and verified by comparing the model predictions with experimental data that include creep-recovery, creep, and uniaxial constant strain rate tests over a range of temperatures, stress levels, and strain rates. It is shown that the presented constitutive model is capable of predicting the nonlinear behavior of asphaltic mixes under different loading conditions.

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“…where f = f(ἑ, D, T, p) is the dynamic function of damage depending on the strain rate ἑ, the damage D, the temperature T and the density p. It was evaluated for ice thermodynamically (Sjolind, 1987; Derradji-Aouat and Evgin, 2001), in a microscopic (Choi and Karr, 1989; Santaoja, 1989) and in a mesoscopic approach (Pulkkinen, 1989; Mahrenholtz and Wu, 1992), or with a correspondence to fracture mechanics (Schapery, 1984,1991). Fracturing occurs in a material if the damage D passes a critical D c (Lemaitre, 1992).…”

Section: Introductionmentioning

confidence: 99%

A description of crevasse formation using continuum damage mechanics

Pralong¹,

Funk²,

Lüthi³

2003

Ann. Glaciol.

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Continuum damage mechanics describes the progressive deterioration of material subjected to loading. Jointly used with a level-set method, it proves to be a promising approach to computing the interface motion of a damaged material. For polycrystalline ice, a local isotropic damage evolution law (generalized Kachanow’s law) applied to Glen’s flow law allows the description of tertiary creep and facilitates the modeling of crevasse opening using a failure criterion based on damage accumulation. The use of a level-set method permits the description, in a continuum approach, of the motion of a fractured glacier surface. Using these methods, a model is developed. The ability of this model to describe phenomena connected to crevasse opening is presented. The rupture of a large ice block from a hanging glacier is computed and analyzed. The regular acceleration of such an unstable ice block prior to its collapse is calculated and compared to the acceleration function obtained from observations. A good agreement between the two acceleration functions was found.

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A constitutive model for ice as a damaging visco-elastic material

Cited by 30 publications

References 8 publications

On the continuum damage mechanics approach to modeling of polar ice fracture: a reply

On the continuum damage mechanics approach to modeling of polar ice fracture: a reply

A thermo-viscoelastic–viscoplastic–viscodamage constitutive model for asphaltic materials

A description of crevasse formation using continuum damage mechanics

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