Numerical Analysis of Mixed-Mode Fracture in Concrete Using Extended Fictitious Crack Model

A major difficulty in simulating load response of a concrete structure in mixed-mode fracture lies in the fact that crack path is not known a priori. Predicting both the crack path and the associated load response involves advanced simulation techniques and novel numerical methodologies. Here, an intrinsic cohesive crack model is employed to study mixed-mode fracture in a concrete beam. The present approach requires neither preliminary results from linear elastic fracture mechanics simulations nor a re-meshing procedure or special implementation to prevent crack locking. Simulations with regular meshes illustrate that this concise approach can provide a reasonable estimation of peak load of the pre-cracked concrete beams in mixed-mode fracture. This study shows that the energy ratio in the bilinear softening law has larger effects than the stress ratio.

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Fictitious Rough Crack Model (FRCM): A Smeared Crack Modelling Approach to Account for Aggregate Interlock and Mixed Mode Fracture of Plain Concrete

Materials ◽

10.3390/ma13122774 ◽

2020 ◽

Vol 13 (12) ◽

pp. 2774 ◽

Cited By ~ 3

Author(s):

Jan Ungermann ◽

Viviane Adam ◽

Martin Classen

Keyword(s):

Mixed Mode ◽

Stress Transfer ◽

Plain Concrete ◽

Mode I ◽

Crack Model ◽

Mixed Mode Fracture ◽

Numerical Implementation ◽

Normal Stresses ◽

Mode Fracture ◽

Aggregate Interlock

The intention of this paper is to clarify the mechanisms of mixed mode fracture and shear stress transfer in plain concrete. To capture these scarcely explored phenomena, a new mechanical formulation is proposed called the fictitious rough crack model (FRCM). The FRCM considers mode I deformations to control crack formation and residual tensile stress transfer, while mode II deformations are assumed to induce shear stress transfer along the crack surfaces and compressive normal stresses attributed to aggregate interlock. The fundamental idea of the FRCM is to combine these tension-softening and shear-transfer laws and to superimpose the emerging shear and normal stresses of both mechanisms in the crack. The paper illustrates the analytical development of the FRCM and its numerical implementation. Three well-known experimental benchmark problems (concrete panel test series by Nooru-Mohamed and by Hassanzadeh as well as aggregate interlock test series by Paulay and Loeber) are numerically addressed to test plausibility of FRCM results. The numerical implementation of the FRCM is capable of simulating the transition from mode-I fracture to mixed-mode fracture in the structural response and is also able to predict the crack path with reasonable agreement.

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An experimental investigation of mixed-mode fracture in adhesively bonded joints

10.2514/6.1986-152 ◽

1986 ◽

Author(s):

J. BALDWIN

Keyword(s):

Experimental Investigation ◽

Mixed Mode ◽

Mixed Mode Fracture ◽

Bonded Joints ◽

Adhesively Bonded ◽

Adhesively Bonded Joints ◽

Mode Fracture

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