Fatigue Investigation of Elastomeric Structures

Abstract Fatigue crack growth can occur in elastomeric structures whenever cyclic loading is applied. In order to design robust products, sensitivity to fatigue crack growth must be investigated and minimized. The task has two basic components: (1) to define the material behavior through measurements showing how the crack growth rate depends on conditions that drive the crack, and (2) to compute the conditions experienced by the crack. Important features relevant to the analysis of structures include time-dependent aspects of rubber’s stress-strain behavior (as recently demonstrated via the dwell period effect observed by Harbour et al.), and strain induced crystallization. For the numerical representation, classical fracture mechanical concepts are reviewed and the novel material force approach is introduced. With the material force approach at hand, even dissipative effects of elastomeric materials can be investigated. These complex properties of fatigue crack behavior are illustrated in the context of ...

[1]  J. D. Eshelby The elastic energy-momentum tensor , 1975 .

[2]  HighWire Press Philosophical Transactions of the Royal Society of London , 1781, The London Medical Journal.

[3]  Paul Steinmann,et al.  Application of material forces to hyperelastostatic fracture mechanics. I. Continuum mechanical setting , 2000 .

[4]  R. Mueller,et al.  On material forces and finite element discretizations , 2002 .

[5]  L. Nasdala,et al.  An efficient viscoelastic formulation for steady-state rolling structures , 1998 .

[6]  J. Rice A path-independent integral and the approximate analysis of strain , 1968 .

[8]  A. Fatemi,et al.  Fatigue crack growth of filled rubber under constant and variable amplitude loading conditions , 2007 .

[9]  Gérard A. Maugin,et al.  Material Inhomogeneities in Elasticity , 2020 .

[10]  P. Paris A rational analytic theory of fatigue , 1961 .

[11]  Mary C. Boyce,et al.  Constitutive modeling of the large strain time-dependent behavior of elastomers , 1998 .

[12]  J. D. Eshelby,et al.  The force on an elastic singularity , 1951, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[13]  Michael Kaliske,et al.  An endochronic plasticity formulation for filled rubber , 2010 .

[14]  Paul Steinmann,et al.  Application of material forces to hyperelastostatic fracture mechanics. II. Computational setting , 2001 .

[15]  H. Rothert,et al.  Constitutive approach to rate-independent properties of filled elastomers , 1998 .

[16]  A. Gent,et al.  Why Do Cracks Turn Sideways , 2003 .