Abstract
The contribution is concerned with reliable and computable bounds of the limit (or safety) load in the deformation theory of perfect plasticity. We consider truncation and indirect incremental methods of limit analysis which can be interpreted as penalization techniques. Further, convergence for higher order finite elements is shown. The efficiency of the proposed approaches is illustrated on numerical experiments with the von Mises and Drucker–Prager yield criteria.
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Acknowledgements
This work was supported by The Ministry of Education, Youth and Sports of the Czech Republic from the National Programme of Sustainability (NPU II), project “IT4Innovations excellence in science - LQ1602”.
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Sysala, S., Haslinger, J. (2017). Truncation and Indirect Incremental Methods in Hencky’s Perfect Plasticity. In: dell'Isola, F., Sofonea, M., Steigmann, D. (eds) Mathematical Modelling in Solid Mechanics. Advanced Structured Materials, vol 69. Springer, Singapore. https://doi.org/10.1007/978-981-10-3764-1_17
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DOI: https://doi.org/10.1007/978-981-10-3764-1_17
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