Computational geomechanics: The heritage of Olek Zienkiewicz

• Published in: International journal for numerical methods in engineering Vol. 87; no. 1-5; pp. 457 - 489
• Main Authors: Pastor, M., Chan, A. H. C., Mira, P., Manzanal, D., Fernández Merodo, J. A., Blanc, T.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 08-07-2011; Wiley
• Subjects: Applied sciences; Buildings. Public works; Computer programs; constitutive models; Design engineering; dry liquefaction; Earth sciences; Earth, ocean, space; Engineering and environment geology. Geothermics; Engineering geology; Exact sciences and technology; fast landslides; finite elements; Foundations; Fundamental areas of phenomenology (including applications); Geotechnical engineering; Geotechnics; Inelasticity (thermoplasticity, viscoplasticity...); Landslides; marine foundations; mathematical modelling; Mathematical models; Physics; Plasticity; Seismic engineering; Solid mechanics; SPH; Structural and continuum mechanics; Structure-soil interaction; constitutive equation; Smoothed particle hydrodynamics method; geophysics; plasticity; liquefaction; SPH; marine foundations; finite element analysis; earthquakes; Modeling; constitutive models; Engineering design; fast landslides; Inelasticity; mathematical modelling; landslides; dry liquefaction; Hazard; finite elements
• ISSN: 0029-5981; 1097-0207; 1097-0207
• DOI: 10.1002/nme.3192

Geotechnical engineering design is based on mathematical, constitutive and numerical models implemented in computer codes which are able to predict the behaviour of geostructures and foundations under a wide variety of loading conditions, sometimes demanding or extreme. Prediction is fundamental in areas such as seismic engineering, marine foundations or landslide hazard analysis. No computer code is better than the mathematical, constitutive and numerical models which it implements. This paper is devoted to (i) reviewing the decisive contributions of Professor Olek Zienkiewicz to the development of mathematical, constitutive and numerical models in geotechnical engineering and (ii) presenting some extensions based on his work which have been proposed by the authors. The extensions to be described here are the following: (i) a particularization of the u − prmw Zienkiewicz model to the case of fast catastrophic landslides (ii) an extension of the generalized plasticity model proposed by him and (iii) an SPH numerical model for the propagation of fast catastrophic landslides. Copyright © 2011 John Wiley & Sons, Ltd.