0 Overview

0.1 origin paper:

1 Readthrough

1.1 Abstract

• porous elastic medium subjected to time harmonic loads (normal force and thermal source)

• generalised thermoelastic theory

• Biot's dynamic poroelastic theory

• The material of the foundation is idealised as a uniform, fully saturated poroelastic half-space stratum

• coupled governing equations

• Fourier transform

• coupled thermo- hydro-mechanical dynamic model

• hydro-mechanical dynamic model

• thermo-elastic dynamic model

1.2 Introduction

• development
  

1.3 Governing equations

• 

  the dynamic equilibrium equation of motion of thermo-hydro- mechanical coupling in the absence of body forces

• 

  he equation of heat conduction for porous elastic soil with generalised thermo- elasticity with one relaxation time

  

• the mass conservation equation of water

  

• The constitutive relations considering the effect of temperature

1.3 Formulation and solution of the problem

• non-dimensional quantities are introduced

  

• Fourier transform with respect to the x coor- dinate

  

1.4 Inversion of transform

1.5 calculations and discussions

in short, we don't read this part very carefully.

2 thinkings and problems unsolved

2.1 About Fourier transform

in this paper, they transformed x varible into beta varible, how come this  would simplify the equations and finally reach an answer?

further more, I still don't quite understand the nature of this transformation, how exactly does it work？ 

2.2 About thermomechnics

I am not so familiar with the theory of generalised thermoelasticity，i think i still need to read the original papers, and when i get a further understanding, i will certainly write them down here.