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Examples of applications of the peridynamic theory to the solution of static equilibrium problems

Published online by Cambridge University Press:  27 January 2016

M. Zaccariotto ,
F. Luongo ,
G. sarego  and
U. Galvanetto
M. Zaccariotto*
Affiliation:
Department of Industrial Engineering, University of Padova, Padova, Italy Centre of Studies and Activities for Space (CISAS), Padova, Italy
F. Luongo
Affiliation:
Department of Industrial Engineering, University of Padova, Padova, Italy Centre of Studies and Activities for Space (CISAS), Padova, Italy
G. sarego
Affiliation:
Department of Industrial Engineering, University of Padova, Padova, Italy Centre of Studies and Activities for Space (CISAS), Padova, Italy
U. Galvanetto
Affiliation:
Department of Industrial Engineering, University of Padova, Padova, Italy Centre of Studies and Activities for Space (CISAS), Padova, Italy
*
[email protected]
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Abstract

Peridynamics is a recently proposed continuum theory based on a non local approach and formulated with integral equations. The theory is suitable for dealing with crack propagation in solid materials. The original peridynamic formulation regarded dynamic problems and was adapted to the static case mainly using a relaxation method by introducing a substantial amount of numerical damping in the time integration. In the present work the implementation of the theory within an implicit code for static crack propagation phenomena based on the Newton-Raphson method is presented and applied to several examples of static crack propagation equilibrium problems. Results obtained with the newly developed procedure are presented for various structural configurations, with different boundary and load conditions and quantitatively compared to published data.

Type
Research Article
Information
The Aeronautical Journal , Volume 119 , Issue 1216 , June 2015 , pp. 677 - 700
Copyright
Copyright © Royal Aeronautical Society 2015

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