Abstract
Elasto-plastic analysis of a strip with a hole under tension is a classical problem in computational plasticity. It was studied experimentally by Theocaris and Marketos (1964) and was first analyzed using finite element methods by Marcal and King (1967) and Zienkiewicz, Valliappan and King (1969). This problem was also studied by Narisawa (1991) and Yu and Zeng (Yu, 1998). The results were described by many authors, such as Zienkiewicz (1971), Zienkiewicz and Taylor (2000; Zienkiewicz and Taylor 2009) and Yu (1998; 2004). The Huber-von Mises criterion for non-SD materials was used before 1994. The results can be adopted only for those materials which have identical strength both in tension and compression and the shear strength equals τy=0.577 σy. It cannot be used for most materials, especially geomaterials. The twin-shear strength theory was used for elasto-plastic analysis of a strip with a hole under tension and compression for non-SD materials and SD materials by Yu and Zeng (Yu, 1998). The unified yield criterion was studied for elasto-plastic analysis of a strip with a hole under tension for non-SD materials by Yu (Yu, 2004). The analytical results obtained using various yield criteria are very different. The shape and size of the plastic zone as well as the slip angle are influenced strongly by the choice of the yield criterion. It is necessary to use a new efficient criterion.
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© 2012 Zhejiang University Press, Hangzhou and Springer-Verlag Berlin Heidelberg
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Yu, MH., Li, JC. (2012). Strip with a Circular Hole under Tension and Compression. In: Computational Plasticity. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24590-9_8
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DOI: https://doi.org/10.1007/978-3-642-24590-9_8
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