Notes on Numerical Modeling in Geomechanics
These “Notes” are the result of many years of experience in teaching, developing, and practicing numerical modeling in geomechanics; they are intended for beginners with a background in differential equations, mechanics of materials, matrix algebra, vector calculus, and some exposure to soil and rock mechanics.
The primary objective of these “Notes” is to develop a basic understanding of the finite element method (FEM) as used in geomechanics. FEM is well understood and has been in undergraduate engineering curricula for many years; it is by far the most popular numerical method for engineering design. Although the best way to learn FEM is by doing, that is, by writing a finite element computer program, learning a computer programming language such as Fortran or some version of C or another
high-level language is not the undergraduate engineering requirement that it once was.
Consequently, an approach based on development of FEM concepts and then use of available FEM programs to demonstrate applications is followed. A similar approach is followed in the case of the boundary element method (BEM) and the distinct element
method (DEM).
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