2008
DOI: 10.1016/j.ijsolstr.2007.11.001
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A thermodynamic approach to non-local damage modelling of concrete

Abstract: This paper focuses on the development of a thermodynamic approach to constitutive modelling of concrete materials, with emphasis on the use of non-local damage models. Effort is put on the construction of a consistent and rigorous thermodynamic framework, which readily allows the incorporation of non-local features into the constitutive modelling. This is an important feature in developing non-local constitutive models based on thermodynamics. Examples of non-local constitutive models derived from this framewo… Show more

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Cited by 29 publications
(22 citation statements)
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“…Polizzotto et al [34] laid down a thermodynamic consistent formulation of non-local plasticity. In turn, Borino et al [35] and Nguyen [36] proposed a thermodynamic consistent formulation of non-local damage. Usually, in elasto-plastic formulations, it is sufficient to achieve mesh-independent FE results to treat non-locally one state variable controlling material softening (e.g.…”
Section: Modelling Of Strain Localizationmentioning
confidence: 99%
“…Polizzotto et al [34] laid down a thermodynamic consistent formulation of non-local plasticity. In turn, Borino et al [35] and Nguyen [36] proposed a thermodynamic consistent formulation of non-local damage. Usually, in elasto-plastic formulations, it is sufficient to achieve mesh-independent FE results to treat non-locally one state variable controlling material softening (e.g.…”
Section: Modelling Of Strain Localizationmentioning
confidence: 99%
“…The yield criterion in this case is derived by eliminating˙ i j from Equation (13). It is a result of the degenerate Legendre transformation of the dissipation function [22], in which the true stress i j in the square bracket of (13) is considered as a passive variable in the transformation [25].…”
Section: Yield Functionmentioning
confidence: 99%
“…Despite the complexity, this approach to modelling of concrete has been widely adopted by several researchers, e.g. Simo and Ju [2], Yazdani and Schreyer [3], Luccioni et al [4], Lee and Fenves [5,6], Meschke et al [7], Faria et al [8], Hansen et al [9], Addessi et al [10], Ung-Quoc [11], Jefferson [12], Nguyen and Houlsby [13], Salari et al [14], Nguyen [15], Grassl and Jirásek [16]. A review of constitutive models based on damage mechanics and plasticity theory can be found in Nguyen [15].…”
Section: Introductionmentioning
confidence: 99%
“…The damage energies defined by the first terms of Equations (3) and (4) and arising from all material points inside the volume V d govern the non-local softening processes. The thermomechanical aspects of this non-local regularization have been discussed by Nguyen [10] and are also subjects of an on-going study [20]. From (3) and (4), we obtain two non-local damage criteria as follows:…”
Section: Non-local Regularizationmentioning
confidence: 99%
“…where all the stress terms in Equations (19) and (20) are evaluated at point y which lies inside a sphere (or circle in two dimensions) of volume V d , centre x and radius R; G(x) = V d g( y − x ) dV is used to normalize the weighting scheme applied to the energy-like terms in (19) and (20); and g( y − x ) is a bell-shaped weighting function defined by…”
Section: Non-local Regularizationmentioning
confidence: 99%