Acta Mechanica

, Volume 226, Issue 11, pp 3707–3715 | Cite as

Linearized damage mechanics for states of small damage

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Abstract

In this work, the concept of a linearized damage variable is introduced within the framework of continuum damage mechanics. Instead of considering one single fictitious undamaged configuration, a number n of smaller fictitious undamaged configurations are utilized. Thus, a smaller and linearized damage variable can be defined for each individual fictitious undamaged configuration. Additionally, the equations of damage evolution are formulated with respect to each individual fictitious undamaged configuration. Some interesting and surprising results are obtained. In this regard, a new result is obtained for the strain energies with respect to the n fictitious undamaged configurations. The linearized damage variable can be used for states of damage where the damage is small. The formulation is linear elastic based on linear superposition and should be applicable to many high-cycle fatigue problems.

Keywords

Effective Stress Elastic Strain Elastic Energy Damage Mechanic Damage Evolution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Wien 2015

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringLouisiana State UniversityBaton RougeUSA

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