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Finite Difference and Numerical Methods
Published in K.T. Chau, Theory of Differential Equations in Engineering and Mechanics, 2017
Prof. Wilson was a professor at University of California at Berkeley and made significant contributions to nonlinear analyses of structures under seismic loadings, whereas Prof. Newmark was a professor at University of Illinois at Urbana Champaign and made significant contributions to seismic analysis of structures. In geotechnical engineering, Newmark chart was developed to estimate the vertical stress increment under arbitrary surface loading and Newmark sliding block model was developed to investigate seismic slope stability.
Seismic Slope Displacement of Tailings Dam: A Comparative Study between Modified Newmark and Mohr-Coulomb Models
Published in Journal of Earthquake Engineering, 2022
Violeta Mircevska, Miroslav Nastev, Ana Nanevska
The Newmark’s sliding block analysis is an engineering procedure that evaluates seismic stability of earth slopes (Newmark 1965). Due to its simplicity, it has been widely used by geotechnical practitioners. It first compares the pseudo-static inertial coefficient of the rigid sliding block, i.e., the critical yield acceleration, to the input acceleration time history. During the strong earthquake motion, the input acceleration could become large enough to compromise the slope safety and generate permanent displacements. The analytical procedure calculates the sum of these sequential displacements as an indication of the likelihood of failure. It has long been acknowledged, however, that the assumptions involved in the original Newmark-type analysis tend to oversimplify the complex field conditions (Sarma 1975; Seed and Martin 1966) and may lead to inaccurate evaluation of the permanent sliding displacements (Meehan and Vahedifard 2013).