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physics.class-ph2022★ 5 cited
Formulations of the Elastodynamic Equations in Anisotropic and Multiphasic Porous Media from the Principle of Energy Conservation
Yinqiu Zhou, Xiumei Zhang, Lin Liu +2
Elastodynamic equations have been formulated with either Newton's second law of motion, Lagrange's equation, or Hamilton's principle for over 150 years. In this work, contrary to c…
physics.class-ph2021★ 9 cited
A methodology for formulating dynamical equations in analytical mechanics based on the principle of energy conservation
Yinqiu Zhou, Xiuming Wang
In this work, a methodology is proposed for formulating general dynamical equations in mechanics under the umbrella of the principle of energy conservation. It is shown that Lagran…