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http://bura.brunel.ac.uk/handle/2438/3587
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 |
URI: | http://bura.brunel.ac.uk/handle/2438/3587 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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