Measurement of Characteristic Length of Nonlocal Continuum

@article{Baant1989MeasurementOC,
  title={Measurement of Characteristic Length of Nonlocal Continuum},
  author={Zdeněk P. Ba{\vz}ant and Gilles Pijaudier-Cabot},
  journal={Journal of Engineering Mechanics-asce},
  year={1989},
  volume={115},
  pages={755-767}
}
The characteristic length of a heterogeneous brittle material such as concrete represents a material property that governs the minimum possible width of a zone of strain‐softening damage in nonlocal continuum formulations or the minimum possible spacing of cracks in discrete fracture models. This length is determined experimentally. The basic idea is to compare the response of two types of specimens, one in which the tensile softening damage remains distributed and one in which it localizes… 

Figures from this paper

MODE I FRACTURE BEHAVIOR IN CONCRETE: NONLOCAL DAMAGE MODELING

A nonlocal damage model is used to reproduce typical uniaxial tension tests with reference to a normal strength concrete. A strip and a notched plate subjected to uniaxial tension are first

On the Calibration of Nonlocal Models for Tensile Fracture in Concrete

Tensile fracture in concrete is characterised by a quasi-brittle response in the form of a gradual reduction of stress with increasing displacements. This softening response is caused by the

Fracture and permeability of concrete and rocks*-1pt

Continuum Damage Mechanics provides a framework for the description of the mechanical response of concrete and rocks which encompasses distributed micro-cracking, macro-crack initiation, and then its

Microstructural dimension involved in the damage of concrete-like materials: An examination by the lattice element method

With the lattice element method, it is required to introduce a length via, for example, a non-local approach in order to satisfy the objectivity of the mechanical response. In spite of this, the

Micromechanics based discrete damage model with multiple non-smooth yield surfaces: Theoretical formulation, numerical implementation and engineering applications

The discrete damage model presented in this paper accounts for 42 non-interacting crack microplanes directions. At the scale of the representative volume element, the free enthalpy is the sum of the
...

Crack band theory for fracture of concrete

A fracture theory for a heterogenous aggregate material which exhibits a gradual strain-softening due to microcracking and contains aggregate pieces that are not necessarily small compared to

Instability, Ductility, and Size Effect in Strain-Softening Concrete

Analysis of structural instability due to strain-softening (i.e., declining branch of the stress-strain diagram) is presented. In a continuum, strain-softening is impossible; it can exist only in a

Nonlocal Continuum Damage, Localization Instability and Convergence

A recent nonlocal damage formulation, in which the spatially averaged quantity was the energy dissipated due to strain-softening, is extended to a more general form in which the strain remains local

Numerical simulation

Slab elements constitutive modelling Strength and failure behaviour of the steel used for meshes and reinforcing bars were described by the Johnson & Cook model [2-3]. Mechanical behaviour of

Stable States and Paths of Structures with Plasticity or Damage

Stability conditions for irreversible structural systems are formulated on the basis of the second law of thermodynamics. It is found that distinction must be made between stable equilibrium states

CRACK BAND MODEL FOR FRACTURE OF GEOMATERIALS.

Encyclopædia of Physics

Handbuch der PhysikHerausgegeben von S. Flügge. Band 40: Kernreaktionen I. Pp. vi + 553. 128 D.M. Band 42: Kernreaktionen III. Pp. vii + 626. 135 D.M. (Berlin: Springer-Verlag, 1957.)

Fracture Energy of Concrete: Its Definition and Determination From Size Effect Test

  • Z. BažantP. Pfeiffer
  • Engineering
    SP-100: Concrete Durability: Proceedings of Katharine and Bryant Mather International Symposium
  • 1987

Mechanics of Distributed Cracking