A finite element material modelingtechnique for the hysteretic behaviour of reinforced rubber

University essay from KTH/Hållfasthetslära (Avd.)

Author: Petter Lind; [2017]

Keywords: ;

Abstract: Reinforced rubber is thanks to its elastic and dissipative properties found in industrialapplications such as isolators, flexible joints and tires. Its dissipative propertied comes from material related losses which have the effect that energy invested when deforming the material is not retained when returning it back to its initial state. The materiallosses are in turn caused by interactions in the material on a level below the micro scale.These interaction forms a macro stress strain response that is dependent on both strainamplitude, strain rate and temperature.It is thus a challenge to accurately model components made of reinforced rubber andand features of interest related to them, such as the rolling resistance for a tire. It is also difficult to device general design guide lines for such components due to rubbers many and complex dependencies and a simple accurate phenomenological model for modeling these properties are highly sought for in industry today.This thesis presents a method for modeling the strain amplitude and strain rate behavior for cyclically loaded rubber along with a method of choosing its material parameters.The proposed modeling technique results in a model with the same frequencydependency over all strain rates. An approximation which is shown to be valid over a few decades of strain amplitudes and rates and is believed useful for many industrialapplications. The material model presented can in addition be implemented in commercial FEsoftwares by using only pre-defined material models. This was achieved by implementationof the overlay method. The thesis also presents a method for how to implement the modeling technique in simulations with purpose to determine the rolling resistance of a truck tyre.

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