Damage Models for Concrete
read more
Citations
A Modified Mazars Damage Model with Energy Regularization
A probabilistic upscaling of microstructural randomness in modeling mesoscale elastic properties of concrete
Continuum damage-healing framework for the hydration induced self-healing of the cementitious composite:
Finite element simulation of restrained shrinkage cracking of cementitious materials: Considering moisture diffusion, aging viscoelasticity, aleatory uncertainty, and the effects of soft/stiff inclusions
A 3D mesoscopic frictional cohesive zone model for the steel-concrete interface
References
Nonlocal damage theory
Application de la mecanique de l'endommagement au comportement non lineaire et a la rupture du beton de structure
Measurement of Characteristic Length of Nonlocal Continuum
A nonlocal damage theory
Related Papers (5)
Measurement of Characteristic Length of Nonlocal Continuum
Frequently Asked Questions (12)
Q2. What is the importance of the averaging procedure?
Attention should also be paid to axes of symmetry: as opposed to structural boundaries where the averaging region lying outside the structure is chopped, a special averaging procedure is needed to account for material points that are not represented in the finite element model.
Q3. What is the robust way of calibrating the internal length?
The most robust way of calibrating the internal length is by a semi-inverse technique which is based on computations of size effect tests.
Q4. How is the influence of microcracking introduced?
The influence of microcracking due to external loads is introduced via a single scalar damage variable d ranging from 0 for the undamaged material to 1 for completely damaged material.
Q5. What is the effect of crack closure on the material?
During load cycles, microcracks close progressively and the tangent stiffness of the material should increase while damage is kept constant.
Q6. What is the internal length of a microcrack?
In tension, microcracks are perpendicular to the tensile stress direction; in compression microcracks open parallel to the compressive stress direction.
Q7. What is the evolution of the damage surface?
After anincremental growth of damage, the new damage surface is the sum of two ellipsoidal surfaces: the one corresponding to the initial damage surface, and the ellipsoid corresponding to the incremental growth of damage.
Q8. What is the purpose of the modification of the model?
This modification of the model is necessary in order to achieve consistent computations in the presence of strain localization due to the softening response of the material [8].
Q9. What is the purpose of the nonlocal model?
This model, however, enables a proper description of failure that includes damage initiation, damage growth, and its concentration into a completely damaged zone, which is equivalent to a macrocrack.
Q10. What is the damage energy release rate?
The damage energy release rate isY ¼ ÿr @c @d ¼ 1 2 eijC0ijkleklwith the rate of dissipated energy:’f ¼ ÿ @rc @d ’dSince the dissipation of energy ought to be positive or zero, the damage rate is constrained to the same inequality because the damage energy release rate is always positive.
Q11. How can The authorspeed up the computation of a gauss point?
To speed the computation, a table in which, for each gauss point, its neighbors and their weight are stored can be constructed at the time of mesh generation.
Q12. What is the relationship between the stress and the effective stress?
For a linear displacement interpolation, a is the solution of the following equality where the states of strain and stresses correspond to uniaxial tension:hf ¼ Gf ; with f ¼ Z 10 Z O ½ ’dð~nÞnkstklnlni njdOdeij ð24Þwhere f is the energy dissipation per unit volume, Gf is the fracture energy, and h is related to the element size (square root of the element surface in a two-dimensional analysis with a linear interpolation of the displacements).