Plasticity model for concrete using the bounding surface concept

Anisotropic damage–plasticity model for concrete

“…In order to adequately characterize the damage in concrete due to tensile and compressive loadings, the Cauchy stress tensor (nominal or effective) is decomposed into positive and negative parts using the spectral decomposition technique (e.g. Simo and Ju, 1987a,b;Chaboche, 1992;Voyiadjis and Abu-Lebdeh, 1994;Hansen and Schreyer, 1995;Krajcinovic, 1996). Hereafter, the superscripts ''+" and ''À" designate, respectively, tensile and compressive entities.…”

“…Anisotropic damage in concrete yet remains complex and the coupling with plasticity and the application to structural analysis is not straightforward (e.g. Ju, 1989Ju, , 1990Yazdani and Schreyer, 1990;Voyiadjis and Abu-Lebdeh, 1994;Meschke et al, 1998;Voyiadjis and Kattan, 1999;Carol et al, 2001;Hansen et al, 2001;Cicekli et al, 2007), and consequently, it has been avoided by many authors.…”

“…There are many researchers who have used plasticity alone to characterize the concrete behavior (e.g. Chen and Chen, 1975;William and Warnke, 1975;Bazant, 1978;Dragon and Mroz, 1979;Schreyer, 1983;Chen and Buyukozturk, 1985;Oñate et al, 1988;Voyiadjis and Abu-Lebdeh, 1994;Karabinis and Kiousis, 1994;Este and Willam, 1994;Menetrey and Willam, 1995;Grassl et al, 2002). The main characteristic of these models is a plasticity yield surface that includes pressure sensitivity, path sensitivity, non-associative flow rule, and work or strain hardening.…”

Continuum damage mechanics for hysteresis and fatigue of quasi‐brittle materials and structures

“…Phenomenological constitutive models valid for both tensile and compressive behaviours take into account the micro-defects closure effect either within specific plasticity criterion [52,53] or within specific damage laws [2,[54][55][56][57][58]. This effect (mechanically referred to as the quasi-unilateral conditions) leads to partial recovery of the elastic properties in compression: most of the cracks responsible for the damage state close.…”

A plasticity and anisotropic damage model for plain concrete

“…There are many researchers who have used plasticity alone to characterize the concrete behavior (e.g. Chen and Chen, 1975;William and Warnke, 1975;Bazant, 1978;Dragon and Mroz, 1979;Schreyer, 1983;Chen and Buyukozturk, 1985;Onate et al, 1988;Voyiadjis and Abu-Lebdeh, 1994;Karabinis and Kiousis, 1994;Este and Willam, 1994;Menetrey and Willam, 1995;Grassl et al, 2002). The main characteristic of these models is a plasticity yield surface that includes pressure sensitivity, path sensitivity, non-associative flow rule, and work or strain hardening.…”