Thermoplasticity model for concrete under transient temperature and biaxial stress

Khennane, Amar; Baker, G. P.

doi:10.1098/rspa.1992.0134

Cited by 24 publications

(5 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thelandersson [6] and Schneider [2] suggested uniaxial expressions for the transient creep, with the former applying the theory of plasticity and extending the model to 3D. Khennane and Baker [7,8] and Heinfling et al [9] also adopted the theory of plasticity and based their numerical implementation of transient creep on the work of de Borst and Peeters [10]. Thelandersson [5] proposed a model, decomposing the transient creep into viscous creep and thermo-mechanical strain.…”

Section: Introductionmentioning

confidence: 99%

Gradient enhanced thermo‐mechanical damage model for concrete at high temperatures including transient thermal creep

Pearce

Nielsen

Bícanić

2004

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

SUMMARYA thermo-mechanical model for concrete under transient high temperatures is presented. Particular emphasis is placed on the transient thermal creep model, which can be seen as an extension of Thelandersson's formulation, and the gradient-enhanced damage model that has been extended here to include temperature dependency. Degradation of the material stiffness due to exposure to elevated temperatures is included via a simple thermal damage model. The model's performance is illustrated on several benchmark problems under both transient and steady state heating conditions.

show abstract

Section: Introductionmentioning

confidence: 99%

Gradient enhanced thermo‐mechanical damage model for concrete at high temperatures including transient thermal creep

Pearce

Nielsen

Bícanić

2004

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…In particular, the mechanical properties of concrete at high temperatures are heavily affected by the aggregate type, mixture ratio, curing conditions and heating scenarios. The available test data of concrete under high temperatures (Baker and Borst, 2005;Gernay et al, 2013;Heinfling, 1998;Khennane and Baker, 1992;Lie, 1984;Nechnech et al, 2002;Thanaraj et al, 2020;Zhang et al, 2021) indicate a qualitatively consistent overall trend -as the temperature increases, the stiffness usually degrades more severely than the material strength, the strain corresponding to the peak stress gradually increases and the post-peak stress-strain curve progressively becomes flat. Moreover, the random and statistical characteristics exhibited by these mechanical properties are non-negligible in structural designs.…”

Section: Introductionmentioning

confidence: 90%

“…Theniel and Rostary (1995) studied the mechanical behavior of normal strength concrete (NSC) under biaxial compression at high temperatures and found that concrete exhibits similar strength decays as it does under uniaxial compression. Khennane and Baker (1992), Heinfling (1998) and Ulm et al (1999) proposed thermo-mechanically coupled material models based on the plasticity theory. Though the temperature-dependent strengths were considered, stiffness degradation could not be dealt with.…”

Section: Introductionmentioning

confidence: 99%

An energy-based elastoplastic damage model for concrete at high temperatures

Wang

2022

International Journal of Damage Mechanics

View full text Add to dashboard Cite

Although structural concrete is widely used in civil engineering, the proper modeling of its thermo-mechanical behavior remains a challenging issue for the academic and engineering communities due to the complexity involved in the underlying micro-cracking process. In this work, the previous thermodynamically consistent energy-based elastoplastic damage model is extended to concrete at high temperatures, with the aim to describe the material nonlinear behavior and provide numerical predictions of concrete structures. Both the thermal expansion and transient creep strain are incorporated in the kinematics. Within the framework of continuum damage mechanics, two mechanical damage variables that lead to a fourth-order damage tensor are introduced to describe stiffness degradation of concrete under predominant tension and compression, respectively. Moreover, temperature-dependent mechanical properties are adopted to describe the thermal degradation and the thermo-mechanically coupled behavior of concrete at high temperatures. The plastic flow is described by the effective stress space plasticity and the evolution laws for the mechanical damage variables are driven by the conjugate elastoplastic damage energy release rates. The proposed model is validated by several benchmark experiments of plain concrete and then applied to reinforced concrete (RC) structures. The well agreement between the numerical predictions and experimental results indicates that the proposed model is promising in quantifying the global responses and assessing the safety of plain concrete and RC structures at high temperatures.

show abstract

“…Accordingly, such models are based on a formal analogy with the 3D Hooke's law [10][11][12][13][14][15]:…”

Section: Confinement-dependent 3d Implementation Methodsmentioning

confidence: 99%

“…Commonly, 3D LITS models are based on the assumption of the superimposition principle [10][11][12][13][14][15]; in other words it is assumed that the LITS state that develops in the case of multiaxial confinement equals the sum of the LITS states corresponding to each compressive stress component applied individually.…”

Section: Introductionmentioning

confidence: 99%

A confinement-dependent load-induced thermal strain constitutive model for concrete subjected to temperatures up to 500 °C

Torelli

Mandal

Gillie

et al. 2018

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.ACCEPTED MANUSCRIPT A C C E P T E D M A N U S C R I P T 1 Highlights  LITS development for temperatures up to 500°C is strongly confinement-dependent  A confinement-dependent LITS model for this temperature range is presented  The model is numerically implemented, validated applied to a test case  The behaviour of nuclear vessels is affected by the confinement-dependency of LITS ACCEPTED MANUSCRIPT A C C E P T E D M A N U S C R I P T AbstractThis paper proves that, given a Load-Induced Thermal Strain (LITS) curve able to accurately describe the uniaxial LITS development for a specific type of concrete and temperatures up to 500°C, a more accurate prediction of the 3D LITS state is obtained through a confinement-dependent 3D implementation than through the classic confinement-independent approach. In particular, a new model is presented, obtained by extending to 3D a fourth order polynomial LITS derivative function in a way that allows the effects of the stress confinement to be taken into account. For comparison purposes, the same fourth order polynomial LITS derivative function is also implemented in 3D through the classic confinement-independent modelling approach. These constitutive relationships are adopted to model transient experiments performed on concrete subjected to constant uniaxial and biaxial compressive loads. The results show that the confinementdependent modelling approach gives a better prediction of the LITS state developing in the case of biaxial compression than the classic confinement-independent approach. Finally, the validated confinementdependent model is applied to evaluate the LITS-related stress redistribution taking place in a typicalPrestressed Concrete Pressure Vessel (PCPV) subjected to heating to 500°C and cooling back to the normal operating temperature of 50°C. It is found that including the effects of three dimensional LITS behaviour has significant effects on the predicted stress states.

show abstract

Thermoplasticity model for concrete under transient temperature and biaxial stress

Cited by 24 publications

References 17 publications

Gradient enhanced thermo‐mechanical damage model for concrete at high temperatures including transient thermal creep

Gradient enhanced thermo‐mechanical damage model for concrete at high temperatures including transient thermal creep

An energy-based elastoplastic damage model for concrete at high temperatures

A confinement-dependent load-induced thermal strain constitutive model for concrete subjected to temperatures up to 500 °C

Contact Info

Product

Resources

About