Eighty Years of the Finite Element Method: Birth, Evolution, and Future
Восемьдесят лет метода конечных элементов: зарождение, развитие и будущее
2022-06-13
SCID: 54.1/nek5naxb
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finite element methodnumerical methodssolid mechanicstheoretical formulations
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Abstract (AI)
Abstract This document presents comprehensive historical accounts on the developments of finite element methods (FEM) since 1941, with a specific emphasis on developments related to solid mechanics. We present a historical overview beginning with the theoretical formulations and origins of the FEM, while discussing important developments that have enabled the FEM to become the numerical method of choice for so many problems rooted in solid mechanics.
Key Findings
1
It traces FEM from its theoretical formulations and origins through major advances that shaped its evolution.
2
The paper discusses the historical trajectory and future direction of FEM based on advances in theory and application.
3
The paper provides a comprehensive historical account of finite element method developments from 1941 onward, emphasizing solid mechanics.
4
The review explains how successive developments established FEM as a numerical method of choice for many solid mechanics problems.
Research Object
finite element methods in solid mechanics
Research Subject
their historical development, theoretical origins, and evolution from 1941 to the present and future
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2022-06-13
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