Strain-Rate-Sensitive Constitutive Law for Concrete

Eibl, J.; Schmidt-Hurtienne, B.

doi:10.1061/(asce)0733-9399(1999)125:12(1411)

Cited by 103 publications

(30 citation statements)

References 5 publications

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“…the evolution of damage is a strongly time dependent phenomenon. Moreover, Eibl and Schmidt-Hurtienne [6] suggest that in case of a sudden drop of the strain rate, the effective strength of the material does not decrease instantaneously. The material has some kind of memory and the effects of rate take some time to wear-off, i.e.…”

Section: Rate-dependent Damage Modelmentioning

confidence: 99%

“…However, in a homogeneous (macro-scale) representation of the material this part of the rate effects has to be explicitly modeled [25]; i.e. the description of rate effects within the constitutive law must be adjusted to the level of representation [6].…”

Section: Rate-dependent Damage Modelmentioning

confidence: 99%

“…Although the dynamic behavior of quasi-brittle materials is far from being completely understood, the possible explanations for the observed rate effects are: i) the enhanced resistance of moisture in the pores [4,5]; ii) the dynamic redistribution of stresses in the fractured zone associated with the material's weakening by micro-cracking; iii) inertia at microlevel which retards the initiation and propagation of micro-cracks [6,7]; and iv) increase of micro-cracking area (damage) [8,9]. The combined effect of these complex phenomena leads to significant dynamic strength increase [10] associated with a raise of the fracture energy, a visible change of the fracturing patterns and a small (usually neglected) increase of the material stiffness.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of dynamic behavior of quasi-brittle materials with new rate dependent damage model

Pereira

Weerheijm²,

Sluijs³

2016

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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Abstract. In concrete often complex fracture and fragmentation patterns develop when subjected to high straining loads. The proper simulation of the dynamic cracking process in concrete is crucial for good predictions of the residual bearing capacity of structures in the risk of being exposed to extraordinary events like explosions, high velocity impacts or earthquakes.As it is well known, concrete is a highly rate dependent material. Experimental and numerical studies indicate that the evolution of damage is governed by complex phenomena taking place simultaneously at different material scales, i.e. micro, meso and macro-scales. Therefore, the constitutive law, and its rate dependency, must be adjusted to the level of representation. For a proper phenomenological (macroscopic) representation of the reality, the constitutive law has to explicitly describe all phenomena taking place at the lower material scales. Macro-scale inertia effects are implicitly simulated by the equation of motion.In the current paper, dynamic crack propagation and branching is studied with a new rate-dependent stress-based nonlocal damage model. The definition of rate in the constitutive law is changed to account for the inherent meso-scale structural inertia effects. This is accomplished by a new concept of effective rate which governs the dynamic delayed response of the material to variations of the deformation (strain) rate, usually described as micro-inertia effects. The proposed model realistically simulates dynamic crack propagation and crack branching phenomena in concrete.

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Section: Rate-dependent Damage Modelmentioning

confidence: 99%

Section: Rate-dependent Damage Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Simulation of dynamic behavior of quasi-brittle materials with new rate dependent damage model

Pereira

Weerheijm²,

Sluijs³

2016

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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“…Although thus far, there is no consensus on the mechanism of strain rate sensitivity of concrete, in view of 4 main acceptable reasons -the lateral inertia forces of microcracking which cause an increase in the critical strain, the micro-cracks propagation through aggregate particles rather than distribution of macro-cracks around those, formation of more cracks and fragments and the viscosity of free water in pores of concrete-the structural concrete resistance increases once the strain rate increases [18,[39][40][41][42] and these result in a retardation of crack propagation or retarded damage. The concepts of retarded damage first used in stress-strain relation were given by Eibl & Schmidt-Hurtienne [43] and HausslerCombe & Kitzig [44].…”

Section: Constitutive Equations For the Rate Dependent Multi-laminatementioning

confidence: 99%

Multi-Laminate Rate-Dependent Modelling of Static and Dynamic Concrete Behavior through Damage Formulation

Sadrnejad

Hoseinzadeh

2017

Scientia Iranica

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Mathematical simulation of the nonlinear tri-dimensional mechanical behavior of quasi-brittle materials like concrete is one of the biggest challenges in the engineering science. It is vital to have the knowledge of the response of concrete specimens subjected to low and high strain rate deformation for the analysis of concrete structures under the static and dynamic loading cases. The behavior of this material is generally known to be strain rate sensitive. Among phenomena of different orientation, the multi plane models, like multi-laminate models using a constitutive equation in a vectorial form rather than tensorial form by means of capturing interactions, can meet this goal adequately. This paper suggests a robust rate dependent damage based model in the multi-planes framework accomplished with minimum parameters for calibration and appropriate for engineering purposes. This damage formulation has been built on the basis of two types of essential damage, axial damage and shear damage, that basically can happen on each sampling plane and based on this concept two new axial and shear damage functions are proposed. Model verification has been studied under different compressive and tensile loading rates, comparing the results of the proposed model with the experimental data and Mohr-Coulomb failure criterion envelope line.

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“…Viscous effects take place during the deformation of pores and allow the material to withstand higher stresses under high strain rate conditions [7]. In this regard the second steeper a e-mail: ulrich.haeussler-combe@tu-dresden.de b e-mail: evmorfia.panteki@tu-dresden.de c e-mail: tino.kuehn@tu-dresden.de branch is contributed to retarded damage [8,9]. Cracks cannot spread arbitrarily fast, which implies that crack speeds below the materials wave speed permit the lowering of stresses even before the formation of cracks.…”

Section: Introductionmentioning

confidence: 99%

Strain rate effects for spallation of concrete

Häußler‐Combe

Panteki

Kühn

2015

EPJ Web of Conferences

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Abstract. Appropriate triaxial constitutive laws are the key for a realistic simulation of high speed dynamics of concrete. The strain rate effect is still an open issue within this context. In particular the question whether it is a material property -which can be covered by rate dependent stress strain relations -or mainly an effect of inertia is still under discussion. Experimental and theoretical investigations of spallation of concrete specimen in a Hopkinson Bar setup may bring some evidence into this question. For this purpose the paper describes the VERD model, a newly developed constitutive law for concrete based on a damage approach with included strain rate effects [1]. In contrast to other approaches the dynamic strength increase is not directly coupled to strain rate values but related to physical mechanisms like the retarded movement of water in capillary systems and delayed microcracking. The constitutive law is fully triaxial and implemented into explicit finite element codes for the investigation of a wide range of concrete structures exposed to impact and explosions.The current setup models spallation experiments with concrete specimen [2]. The results of such experiments are mainly related to the dynamic tensile strength and the crack energy of concrete which may be derived from, e.g., the velocity of spalled concrete fragments. The experimental results are compared to the VERD model and two further constitutive laws implemented in LS-Dyna. The results indicate that both viscosity and retarded damage are required for a realistic description of the material behaviour of concrete exposed to high strain effects [3].

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Strain-Rate-Sensitive Constitutive Law for Concrete

Cited by 103 publications

References 5 publications

Simulation of dynamic behavior of quasi-brittle materials with new rate dependent damage model

Simulation of dynamic behavior of quasi-brittle materials with new rate dependent damage model

Multi-Laminate Rate-Dependent Modelling of Static and Dynamic Concrete Behavior through Damage Formulation

Strain rate effects for spallation of concrete

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