Time-Domain Poroelastic Green's Functions

2003 ◽  
Vol 11 (03) ◽  
pp. 491-501 ◽  
Author(s):  
Andrzej Hanyga
Keyword(s):  
Differential Equations ◽  
Asymptotic Solution ◽  
Time Domain ◽  
Green's Functions ◽  
Green’S Functions ◽  
Isotropic Case ◽  
The Time Domain ◽  
Singular Memory ◽  
Asymptotic Time

A method previously developed for asymptotic solution of systems of integro-differential equations with singular memory is applied to the determination of the time-domain asymptotic Green's function of Biot's poroelasticity. Asymptotic time-domain Green's functions are constructed in a neighborhood of the wavefronts. The general anisotropic medium as well as the isotropic case are considered.

scholarly journals A novel solution algorithm for nonlinearly loaded transmission lines inside resonating enclosures

2014 ◽  
Vol 12 ◽  
pp. 135-142 ◽  
Author(s):  
R. Rambousky ◽  
S. Tkachenko ◽  
J. Nitsch
Keyword(s):  
Transmission Line ◽  
Transmission Lines ◽  
Time Domain ◽  
Green's Functions ◽  
Green’S Functions ◽  
Frequency Data ◽  
Nonlinear Load ◽  
Right Hand ◽  
Left And Right ◽  
The Time Domain

Abstract. Nonlinearly loaded lossless transmission lines inside a rectangular cavity are studied using the left- and right-hand Green's functions of the problem in time domain. These Green's functions are developed for a transmission line with quasi-matched loads. This ensures Green's functions of a short duration. Therefore, the amount of frequency data necessary to obtain time-domain Green's functions is quite limited. The time-domain Green's functions are finally convolved with the left- and right-hand line voltages. With this technique it is possible to treat arbitrarily loaded transmission lines in resonators. An example is presented to demonstrate the applicability of this technique to a transmission line with a simple diode as nonlinear load.

scholarly journals Distribution of Characteristic Times: A High-Resolution Spectrum Approach for Visualizing Chemical Relaxation and Resolving Kinetic Parameters of Ionic-Electronic Conducting Ceramic Oxides

Coatings ◽  
2020 ◽  
Vol 10 (12) ◽  
pp. 1240
Author(s):  
Fuyao Yan ◽  
Yiheng Wang ◽  
Ying Yang ◽  
Lei Zhu ◽  
Hui Hu ◽  
...  
Keyword(s):  
Kinetic Parameters ◽  
Time Domain ◽  
Bulk Diffusion ◽  
High Resolution Spectrum ◽  
Surface Exchange ◽  
Ceramic Oxides ◽  
Fitting Procedure ◽  
The Time Domain ◽  
Rate Limiting

Surface exchange coefficient (k) and bulk diffusion coefficient (D) are important properties to evaluate the performance of mixed ionic-electronic conducting (MIEC) ceramic oxides for use in energy conversion devices, such as solid oxide fuel cells. The values of k and D are usually estimated by a non-linear curve fitting procedure based on electrical conductivity relaxation (ECR) measurement. However, the rate-limiting mechanism (or the availability of k and D) and the experimental imperfections (such as flush delay for gaseous composition change, τf) are not reflected explicitly in the time–domain ECR data, and the accuracy of k and D demands a careful sensitivity analysis of the fitting error. Here, the distribution of characteristic times (DCT) converted from time–domain ECR data is proposed to overcome the above challenges. It is demonstrated that, from the DCT spectrum, the rate-limiting mechanism and the effect of τf are easily recognized, and the values of k, D and τf can be determined conjunctly. A strong robustness of determination of k and D is verified using noise-containing ECR data. The DCT spectrum opens up a way towards visible and credible determination of kinetic parameters of MIEC ceramic oxides.

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