Abstract
The theory of elasticity may also be developed from energy considerations, leading to the field equations in the form of differential equations. This approach does not promise any obvious computational advantage from the standpoint of analytical solutions. However energy methods are extensively developed, for the pursuit of numerical solutions, and are the basis of powerful contemporary programs for solving complex problems in solid mechanics. This development is rather recent and was brought about by the availability of the digital computer. The theoretical underpinnings for energy-based numerical methods are derived, but actual solution techniques are not addressed in any detail since that is a vast field in itself.
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Gould, P.L. (2013). Energy Principles. In: Introduction to Linear Elasticity. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4833-4_11
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DOI: https://doi.org/10.1007/978-1-4614-4833-4_11
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