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The purpose of this study is to present a finite element (FE) implementation of phenomenological three-dimensional viscoelastic and viscoplastic constitutive models for long term behaviour prediction of polymers.

The method is based on the small strain assumption but is extended to large deformation for materials in which the stress-strain relation is nonlinear and the concept of incompressibility is governing. An empirical approach is used for determining material parameters in the constitutive equations, based on measured material properties. The modelling process uses a spring and dash-pot and a power-law approximation function method for viscoelastic and viscoplastic nonlinear behaviour, respectively. The model improvement for long term behaviour prediction is done by modifying the material parameters in such a way that they account for the current test time. The determination of material properties is based on the non-separable type of relations for nonlinear materials in which the material properties change with stress coupled with time.

The proposed viscoelastic and viscoplastic models are implemented in a user material algorithm of the FE general-purpose program ABAQUS and the validity of the models is assessed by comparisons with experimental observations from tests on high-density polyethylene samples in one-dimensional tensile loading. Comparisons show that the proposed constitutive model can satisfactorily represent the time-dependent mechanical behaviour of polymers even for long term predictions.

The study provides a new approach in long term investigation of material behaviour using FE analysis.

The paper aims to present a method of implementing layered shell finite elements for punching shear analysis of reinforced concrete slabs. The emphasis is on the influence of different material modelling parameters on the calculated results.

The finite element approach utilizes quadratic isoparametric C⁰ shell elements. The elements take into account an out‐of‐plane shear response and allow implementation of three‐dimensional constitutive models and out‐of‐plane reinforcement. Through the consideration of 3D states of strain and stress, the formulation can predict structural failures caused by either flexure or punching shear.

Comparisons are shown between analytical solutions and several test results, which show that the presented non‐linear finite element formulation works well for modelling slab behaviour.

The most important contribution of this work is the use of shell elements for punching and flexure analysis of reinforced concrete slabs and the discussion on the influence of material modelling on the calculated results. Shell finite elements have been extensively used in the analysis of slabs for flexure. However, the critical issue in the design of these slabs is a 3D shear effect around the column area called punching shear. 3D elements can be used for punching shear analysis of reinforced concrete slabs, but the cost of using these elements and the computational effort make them impractical for real design situations. Therefore, shell finite elements, with appropriate element and material modelling formulations that make them applicable for punching shear analysis, are employed in the presented work.

Aarhus Kommunes Biblioteker (Teknisk Bibliotek), Ingerslevs Plads 7, Aarhus, Denmark. Representative: V. NEDERGAARD PEDERSEN (Librarian).

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