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The energetic and experimental based approach to description of basic material characteristics and mechanical properties of selected polymers

Kurpisz Dariusz, Obst Maciej

Journal of Theoretical and Applied Mechanics

2020

Vol. 58 nr 1

183--193

The paper presents a proposal of using an experimental phenomenological approach and energy based method to the modelling of mechanical properties of nonlinear elastic mate- rials using examples of two selected polymers. On the basis of an experimental stress-strain relation, together with transversal deformation measurement and the geometrical interpre- tation of the deformation process, analytical forms of the strain energy density function and a pure volumetric part of the strain energy density function have been introduced. The volumetric part of energy has been used in the description of the material damage process interpreted as the appearance of the first plastic deformations, which is the original part of the work and continuous investigations carried out by Wegner and Kurpisz. All theoretical investigations have been illustrated using examples of PVC and PA-6.

Continuity properties of the stree tensor in the 3-dimensional Ramberg/Osgood model

Bildhauer. M., Fuchs M.

Journal of Applied Analysis

2007

Vol. 13, nr 2

209-233

We discuss the weak form of the Ramberg/Osgood equations (also known as the Norton/Hoff model) for nonlinear elastic materials on a 3-dimensional domain and show that the stress tensor is Hoelder continuous on an open subset whose complement is of Lebesguemeasure zero. We also give an estimate for the Hausdorff-dimension of the singular set.