Numerical Finite and Boundary Element Methods

Reviewing the previous chapters would indicate that analytical solutions to elasticity problems are normally accomplished for regions and loadings with relatively simple geometry. For example, many solutions can be developed for two-dimensional problems, while only a limited number exist for three dimensions. Solutions are commonly available for problems with simple shapes such as those having boundaries coinciding with Cartesian, cylindrical, and spherical coordinate surfaces. Unfortunately, however, problems with more general boundary shape and loading are commonly intractable or require very extensive mathematical analysis and numerical evaluation. Because most real-world problems involve structures ...

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