A Damage mechanics constitutive theory for the inelastic behaviour of concrete

Resende, L.

doi:10.1016/0045-7825(87)90130-7

Cited by 71 publications

(28 citation statements)

References 17 publications

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“…The second term in (3) is the volumetric hardening potential, accounting for the recovery of stiffness following initial degradation when concrete is loaded along the hydrostatic compression axis. According to experimental observations (see Section 4) it has been defined as (Resende, 1987) …”

Section: Hardening Potentialsmentioning

confidence: 99%

A framework of elastic–plastic damaging model for concrete under multiaxial stress states

Contrafatto

Cuomo

2006

International Journal of Plasticity

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Section: Hardening Potentialsmentioning

confidence: 99%

A framework of elastic–plastic damaging model for concrete under multiaxial stress states

Contrafatto

Cuomo

2006

International Journal of Plasticity

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“…The simplest possible characterization of three-dimensional damage is a scalar variable, which can be thought of as the damage caused by a field of spherical microvoids with the same stress-carrying area reduction in all spatial directions (Leckie 1978;Lemaitre and Chaboche 1978;Mazars 1985;Resende 1987;Frantziskonis and Desai 1987). To capture the anisotropic nature of damage caused by microcracks with predominant orientation, damage tensors of various orders have been proposed: vectors (Davidson and Stevens 1973;Krajcinovic and Fonseka 1981;Suaris and Shah 1984;Costin 1985;Costin and Stone 1987); second-order tensors (Vakulenko and Kachanov 1971;Dragon and Mr6z 1979;Kachanov 1980;Murakami and Ohno 1980;Betten 1983;Oda 1983;Murakami 1987;Suaris 1987); fourthorder tensors (Chaboche 1979(Chaboche , 1981Ortiz 1985;Sim6 et a!.…”

Section: Existing Models For Dstrbuted Damagementioning

confidence: 99%

Geometric Damage Tensor Based on Microplane Model

1991

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An appealing approach to formulate constitutive models for characteriling distributed damage due to microcracks and voids is continuum damage mechanics with the concepts of effective stress and strain equivalence. [n that approach. in which damage is imagined to characterize the reduction of the net stress-transmitting cross-section area of the material. the constitutive model is separated into two independent parts. one for damage and the other for elastic and inelastic behavior (rheology) other than damage. which. if combined appropriately. give the overall constitutive bchavior. However. the existing multidimensional formulations for damage arc quite complex, and practical implementations capable of fitting experimental data are hard to obtain. The microplane models, by contrast, provide conceptual simplicity and close fits of multi axial test data for concrete. soils. etc., although, as formulated in the past. various kinds of physical phenomena were mixed in the definition of the microplane stress-strain curves. [n this work the microplane theory is reformulated in a manner that separates damage from rheology and makes the formulation fit the basic framework of continuum damage mechanics. Aside from a kinematic constraint between macrostrains and microstrains. the model satisfies a static constraint such that the effective microstresses are the resolved components of the effectiveness macrostresses.

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“…Various damage mechanics-based models have been developed to model the response of concrete, and multifarious mechanisms have been proposed. For example, the plastic-damage models [13], the coupled elastoplastic-damage models [9] and the frictiondamage models [3,12]. Among these, Holmquist-JohnsonConcrete (hereafter called ''H-J-C'') model is perhaps the most popular because it can describe the concrete dynamic effect and failure behavior in high pressure and high strain rate fairly well [7].…”

Section: Introductionmentioning

confidence: 99%

A numerical study on effect of combined wave loadings in concrete slab

2010

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This paper focuses on a simple numerical code to investigate the wave propagation and damage effect in a concrete slab. First, the derivations of governing equations and a cross-format central finite difference algorithm are presented. A self-written FORTRAN code is thus developed. Then, the Johnson-Holmquist-Concrete constitutive model is introduced and implemented into this code. Finally, after the code is verified against LS-DYNA, the mutual coupling of combined wave loadings and the induced compression damage in the concrete slab is explored in details. Numerical results show that this code is effective and can conveniently simulate the responses of concrete slab under different combinations of boundary loadings.

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A Damage mechanics constitutive theory for the inelastic behaviour of concrete

Cited by 71 publications

References 17 publications

A framework of elastic–plastic damaging model for concrete under multiaxial stress states

A framework of elastic–plastic damaging model for concrete under multiaxial stress states

Geometric Damage Tensor Based on Microplane Model

A numerical study on effect of combined wave loadings in concrete slab

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