Behavior of Concrete Under Biaxial Stresses

Kupfer, H.; Hilsdorf, Hubert K.; Rüsch, Hubert

doi:10.14359/7388

Cited by 276 publications

(19 citation statements)

References 5 publications

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“…Let AT and AC be the equibiaxial strength in tension and compression, respectively. For concrete AT ≈ T and AC ≈ 1.16C is found in Kupfer et al (1969), also for rock typically AT ≈ T and AC ≈ C . The MC criterion predicts AT = T and AC = C , and can be used to discriminate between the criteria in biaxial tests.…”

Section: The Simple Extension Strain Criterionmentioning

confidence: 72%

An Extension Strain Type Mohr–Coulomb Criterion

Staat

2021

Rock Mech Rock Eng

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Extension fractures are typical for the deformation under low or no confining pressure. They can be explained by a phenomenological extension strain failure criterion. In the past, a simple empirical criterion for fracture initiation in brittle rock has been developed. In this article, it is shown that the simple extension strain criterion makes unrealistic strength predictions in biaxial compression and tension. To overcome this major limitation, a new extension strain criterion is proposed by adding a weighted principal shear component to the simple criterion. The shear weight is chosen, such that the enriched extension strain criterion represents the same failure surface as the Mohr–Coulomb (MC) criterion. Thus, the MC criterion has been derived as an extension strain criterion predicting extension failure modes, which are unexpected in the classical understanding of the failure of cohesive-frictional materials. In progressive damage of rock, the most likely fracture direction is orthogonal to the maximum extension strain leading to dilatancy. The enriched extension strain criterion is proposed as a threshold surface for crack initiation CI and crack damage CD and as a failure surface at peak stress CP. Different from compressive loading, tensile loading requires only a limited number of critical cracks to cause failure. Therefore, for tensile stresses, the failure criteria must be modified somehow, possibly by a cut-off corresponding to the CI stress. Examples show that the enriched extension strain criterion predicts much lower volumes of damaged rock mass compared to the simple extension strain criterion.

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Section: The Simple Extension Strain Criterionmentioning

confidence: 72%

An Extension Strain Type Mohr–Coulomb Criterion

Staat

2021

Rock Mech Rock Eng

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“…Fig. 3 Bi-axial failure envelope [7] Their findings indicate that the strength of concrete subjected to bi-axial compression is up to 27% higher than that of concrete in uni-axial compression. In the compression-tension zone, the compressive strength will decrease as a function of tensile stress increase.…”

Section: Fig 2 Mortar Response To Multiple Stressesmentioning

confidence: 99%

The Effect of Aggregate Shape and Configuration to the Concrete Behavior

2014

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“…The fracture shape of the element surface in the CDP model represents a modification of Drucker-Prager's strength supposition for principal stresses, where the fracture surface at plane stress is not circular but deviates inward [13,14], as shown in Fig. 1.…”

Section: Shape Parameter (K)mentioning

confidence: 99%

“…The nonlinear fracture surface is governed by a shape parameter to represent the failure shape (K). It is physically defined as the proportion between the second tension to second compression stress on the same hydrostatic pressure at initial fracturing at any variation in pressure, such that the maximum principal stress is negative [13,[15][16][17]. K-value ranges between (0.5-1.0).…”

Section: Shape Parameter (K)mentioning

confidence: 99%

Impact of Failure-surface Parameters of Concrete Damage Plasticity Model on the Behavior of Reinforced Ultra-high Performance Concrete Beams

Mahdi

2023

Period. Polytech. Civil Eng.

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The failure surface of elements can numerically represent by a concrete damage plasticity (CDP) model in Abaqus software which depends on five parameters. The parameters are eccentricity, shape, biaxial to uniaxial compressive strength ratio, dilation angle, and viscosity. This paper studies the effect of changing the values of the failure surface parameters on the bearing capacity, deflection, and overall structural behavior of ultra-high performance concrete (UHPC) beams. The parameters' changes include reasonable values higher or lower than the values adopted by Abaqus. An experimentally performed reinforced UHPC beam is simulated by Abaqus, and the five parameters are calibrated to coincide with the practical results. Then, one of the parameters is changed while others remain constant for each alteration to study its effect on the UHPC beam behavior. The numerical analysis results show that all five parameters do not affect the loading capacity and the corresponding deflection at the first cracking state. At peak state, the eccentricity does not affect the load and deflection. The influence of shape and the biaxial to uniaxial compressive strength ratio are confined to the deflection at peak load only without affecting the bearing capacity. The dilation angle effect appears when it is greater than 30 degrees to 56 degrees, while when it is less than 30, it does not affect the load and deflection. Rising the dilation angle and viscosity value promotes the peak load and the deflection.

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Behavior of Concrete Under Biaxial Stresses

Cited by 276 publications

References 5 publications

An Extension Strain Type Mohr–Coulomb Criterion

An Extension Strain Type Mohr–Coulomb Criterion

The Effect of Aggregate Shape and Configuration to the Concrete Behavior

Impact of Failure-surface Parameters of Concrete Damage Plasticity Model on the Behavior of Reinforced Ultra-high Performance Concrete Beams

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