23 citations · 28 across the 5 of their papers we have counts for
5 papers
Extended framework of Hamilton's principle applied to Duffing oscillation
Jinkyu Kim, Hyeonseok Lee, Jinwon Shin
The paper begins with a novel variational formulation of Duffing equation using the extended framework of Hamilton's principle (EHP). This formulation properly accounts for initial…
Higher order temporal finite element methods through mixed formulations
Jinkyu Kim
The EHP and the MCAP provide new rigorous weak variational formalism for a broad range of initial boundary value problems in mathematical physics and mechanics. Both approaches uti…
Multiplying decomposition of stress/strain, constitutive/compliance relations, and strain energy
HyunSuk Lee, Jinkyu Kim
To account for phenomenological theories and a set of invariants, stress and strain are usually decomposed into a pair of pressure and deviatoric stress and a pair of volumetric st…
Extended Hamilton's principle
Jinkyu Kim
Hamilton's principle is extended to have compatible initial conditions to the strong form. To use a number of computational and theoretical benefits for dynamical systems, the mixe…
The mixed convolved action
Gary F. Dargush, Jinkyu Kim
A series of stationary principles are developed for dynamical systems by formulating the concept of mixed convolved action, which is written in terms of mixed variables, using temp…