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Gradient-enhanced Cam-clay model in simulation of strain localization in soil

Stankiewicz A., Pamin J.

Foundations of Civil and Environmental Engineering

2006

No. 7

293-318

The problem of instability and strain localization in granular materials is approached using a modified Cam-clay plasticity model. The attention is limited to one-phase modeling based on the Terzaghi concept of effective stress. The gradient-enhancement of the model is proposed in order to avoid the spurious discretization sensitivity of finite element solutions. The classical and gradient-dependent versions of the theory and their numerical implementation are summarized. Basic one-element tests and a typical shear banding benchmark of biaxially compressed soil specimen are discussed. Calculations arc performed using the development version of the FEAP finite clement package.

Stochastic finite element analysis of transient heat transfer in composite materials with interface defects

Kamiński M., Hien T.

Archives of Mechanics

1999

Vol. 51, nr 3-4

399-418

The paper presented is devoted to the application of the probabilistic computational analysis based on the stochastic finite element methods in the transient heat transfer problems; the field of application of the method introduced is the mechanics of composite materials. The composite materials considered have randomly defined thermal characteristics and, moreover, the interface discontinuities appearing between constituents have a probabilistic character. The influence of all these parameters on the first two probabilistic moments of temperature are verified on the example of a two-component layered composite with an interphase between the constituents.

Stiffness degradation in gradient-dependent coupled damage-plasticity

Pamin J., de Borst R.

Archives of Mechanics

1999

Vol. 51, nr 3-4

419-446

Two gradient-dependent combinations of isotropic plasticity and scalar damage are proposed. The gradient enhancements of either the plasticity or the damage component of the theory are performed by introducing the Laplacian of a strain measure and an internal length parameter. This makes the constitutive models applicable to localization analyses. The models are used for finite element simulations of localization in a one-dimensional tensile bar problem. The coupling of hardening/softening plasticity with damage governed by different damage evolution functions is discussed. Then, attention is focused on the response of the models in unloading from localized deformation states. The model of gradient damage combined with hardening plasticity is used to predict progressive damage of concrete in a beam subjected to four-point bending. The simulated stiffness degradation is compared with experimental results.