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Title: Local and non-local approaches to creep crack initiation and propagation
Authors: Mikhailov, SE
Namestnikova, IV
Issue Date: 2003
Publisher: ICM9 Conference
Citation: Proceedings of the 9th International Conference on the Mechanical Behaviour of Materials (ICM9), Geneva, May 2003
Abstract: A functional form of local brittle strength conditions for a time- or history-dependent materials is presented. The particular strength condition associated with the Robinson linear damage accumulation rule and the power-type durability diagram is employed to formulation and analysis of creep crack initiation and propagation problem. The problem is reduced to a non-linear integral Volterra equation, which can be transformed to a linear one for the case of a single crack. Analytical solutions of some simple problems for linear viscoelastic materials are presented for that case and shortcomings of the local approach are pointed out. A non-local approach free from the shortcomings is presented along with an example of its implementation
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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