A Hybrid Membrane Element Based on the Hamilton Variational Principle

2007 ◽  
pp. 386-386
Author(s):  
Wei Ju ◽  
Yuqiu Long ◽  
Xiangrong Fu ◽  
Song Cen
Keyword(s):  
Variational Principle ◽  
Hybrid Membrane ◽  
Membrane Element ◽  
Hamilton Variational Principle

scholarly journals Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 633 ◽  
Author(s):  
Claudio Cremaschini ◽  
Massimo Tessarotto
Keyword(s):  
Variational Principle ◽  
Cosmological Constant ◽  
Lagrange Multiplier ◽  
Proper Time ◽  
Variational Theory ◽  
Field Equations ◽  
Metric Tensor ◽  
Covariant Quantum ◽  
Hamilton Variational Principle ◽  
Extremal Metric

The manifestly-covariant Hamiltonian structure of classical General Relativity is shown to be associated with a path-integral synchronous Hamilton variational principle for the Einstein field equations. A realization of the same variational principle in both unconstrained and constrained forms is provided. As a consequence, the cosmological constant is found to be identified with a Lagrange multiplier associated with the normalization constraint for the extremal metric tensor. In particular, it is proved that the same Lagrange multiplier identifies a 4-scalar gauge function generally dependent on an invariant proper-time parameter s. Such a result is shown to be consistent with the prediction of the cosmological constant based on the theory of manifestly-covariant quantum gravity.

A Nonlinear Mathematical Model of Thermoelastic Thin Plates with Voids and Its Applications

2015 ◽  
Vol 07 (02) ◽  
pp. 1550029
Author(s):  
Yuan-Yuan Zhu ◽  
Zheng Zhong ◽  
Chang-Jun Cheng
Keyword(s):  
Mathematical Model ◽  
Variational Principle ◽  
Volume Fraction ◽  
Time Derivative ◽  
Equivalent Form ◽  
Aerodynamic Characteristics ◽  
Thin Plates ◽  
Nonlinear Mathematical Model ◽  
Hamilton Variational Principle ◽  
Thermoelastic Plates

Following the linear theory of thermoelastic materials with voids, a generalized Hamilton variational principle is extended to the thermoelastic plates with voids under the case of large deflection, and a 3D nonlinear mathematical model is presented. In this process, the balance equation of the entropy is converted to an equivalent form without the first-order time-derivative by integral, and the concept of the moments for the volume fraction of voids and temperature field is introduced. As application, the nonlinear dynamic and aerodynamic characteristics of simply-supported rectangular thermoelastic plates with voids for four different materials are studied and compared by using a Galerkin approach. The effects of the initial deflections and material parameters are considered in detail. In addition to providing a generalized Hamilton variational principle and a 3D nonlinear mathematical model, it is also provided a valuable numerical method to solve the dynamic problem directly in the paper. The theory and the method can be applied to solving various problems of the thermoelastic plates with voids easily.

High proton conductivity in a nickel(ii) complex and its hybrid membrane

2019 ◽  
Vol 48 (6) ◽  
pp. 2190-2196 ◽  
Author(s):  
Shuai-Liang Yang ◽  
Yue-Ying Yuan ◽  
Fei Ren ◽  
Chen-Xi Zhang ◽  
Qing-Lun Wang
Keyword(s):  
Hydrogen Bond ◽  
Proton Conductivity ◽  
Hybrid Membrane ◽  
Water Molecules ◽  
Hybrid Membranes ◽  
High Proton Conductivity ◽  
High Proton ◽  
Hydrogen Bond Networks

A novel 2D nickel(ii) complex (1) has been successfully synthesized using a 2,2′-bipyridyl, polycarboxylsulfonate ligand H4SBTC and Ni2+ ions. Owing to the presence of abundant water molecules, hydrogen bond networks and other protons, 1 and its hybrid membranes demonstrate high proton conductivity.

Cellulose-based hybrid membrane with functional integration for personal thermal management applications

2021 ◽  
Vol 535 ◽  
pp. 147670
Author(s):  
Bin Gu ◽  
Hao Zhou ◽  
Ziqi Zhang ◽  
Tao Zhang ◽  
Mingliang Chen ◽  
...  
Keyword(s):  
Thermal Management ◽  
Functional Integration ◽  
Hybrid Membrane

scholarly journals General solutions in Chern-Simons gravity and $$ T\overline{T} $$-deformations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Eva Llabrés
Keyword(s):  
Variational Principle ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Dirichlet Boundary Conditions ◽  
Spin Connection ◽  
Departure Point ◽  
Boundary Stress ◽  
Chern Simons

Abstract We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection. We define a variational principle for Dirichlet boundary conditions and find the boundary stress tensor in the Chern-Simons formalism. Using this variational principle as the departure point, we show how to treat other choices of boundary conditions in this formalism, such as, including the mixed boundary conditions corresponding to a $$ T\overline{T} $$ T T ¯ -deformation.

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