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Finite element limit analysis
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<h2 id="software-for-finite-element-limit-analysis">Software for finite element limit analysis</h2> <ul><li><a href="http://www.optumce.com">OptumG2</a> (2014-) General purpose software for 2D geotechnical applications.</li> <li><a href="http://www.optumce.com">OptumG3</a> (2017-) General purpose software for 3D geotechnical applications.</li></ul> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Limit_analysis/ssW64vzM">Limit analysis</a></li></ul> <h2 id="further-reading">Further reading</h2> <ul><li>Kumar, Jyant, and Debasis Mohapatra. "Lower-bound finite elements limit analysis for Hoek-Brown materials using semidefinite programming." Journal of Engineering Mechanics 143.9 (2017): 04017077.<a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1061%2F%28ASCE%29EM.1943-7889.0001296">10.1061/(ASCE)EM.1943-7889.0001296</a></li> <li>Makrodimopoulos, A., and C. M. Martin. "Lower bound limit analysis of cohesive-frictional materials using second-order cone programming." International Journal for Numerical Methods in Engineering 66.4 (2006): 604-634.<a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1002%2Fnme.1567">10.1002/nme.1567</a></li> <li>Kumar, Jyant, and Vishwas N. Khatri. "<a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/nag.900">Bearing capacity factors of circular foundations for a general c–Φ soil using lower bound finite elements limit analysis</a>." International Journal for Numerical and Analytical Methods in Geomechanics 35.3 (2011): 393-405.</li> <li>Tang, Chong, Kim-Chuan Toh, and Kok-Kwang Phoon. "<a href="https://www.researchgate.net/profile/Kim-Chuan_Toh/publication/278072706_Axisymmetric_Lower-Bound_Limit_Analysis_Using_Finite_Elements_and_Second-Order_Cone_Programming/links/55c45de908aea2d9bdc1d2f7.pdf">Axisymmetric lower-bound limit analysis using finite elements and second-order cone programming</a>." Journal of Engineering Mechanics 140.2 (2013): 268-278.</li> <li>Kumar, Jyant, and Obaidur Rahaman. "<a href="https://www.nrcresearchpress.com/doi/full/10.1139/cgj-2017-0515#.XkI4ZDEzbcs">Vertical uplift resistance of horizontal plate anchors for eccentric and inclined loads</a>." Canadian Geotechnical Journal(2018).</li> <li>Mohapatra D, Kumar J. Collapse loads for rectangular foundations by three-dimensional upper bound limit analysis using radial point interpolation method. Int J Numer Anal Methods Geomech. 2018;1–20. <a href="https://doi.org/10.1002/nag.2885">https://doi.org/10.1002/nag.2885</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>Lysmer, J. (1970). Limit analysis of plane problems in soil mechanics. Journal of the Soil Mechanics and Foundations Division ASCE 96(4), 1311–1334. <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Sloan, S. (1988). Lower bound limit analysis using finite elements and linear programming. Int. J. Num. Anal. Meth. in Geomech. 12(4), 61–77. <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> </ol>