Gradient Flow Model of Mode-III Fracture in Maxwell-type Viscoelastic Materials

DOI DOI Web Site 1 Citations 34 References

Search this article

Description

We formulate a phase field crack growth model for mode III fracture in a Maxwell-type viscoelastic material. To describe viscoelastic relaxation, a field variable of viscously flowed strain is employed in addition to a displacement field and damage phase field used in the original elastic model. Unlike preceding models constructed in the mechanical engineering community, our model is based only on the generic procedure for driving (uni-directional) gradient flow system from a physically natural system energy and employ no additional assumption such as the super-imposed relations for stress and strain (and their time derivatives) valid only for linear viscoelasticity. Numerical simulations indicate that the competition between increase in deformation by applied loading and the viscoelastic relaxation determines whether a distinct crack propagation has occurred from an initial crack. Furthermore, we consider the numerical results from an energetic perspective.

23 pages, 6 figures

Journal

Citations (1)*help

See more

References(34)*help

See more

Related Projects

See more

Keywords

Details 詳細情報について

Report a problem

Back to top