Asset Details
Do you wish to reserve the book?
Construction of three-dimensional solutions of equations of the theory of thermoelasticity in the cylindrical coordinate system
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Construction of three-dimensional solutions of equations of the theory of thermoelasticity in the cylindrical coordinate system
Do you wish to request the book?
Construction of three-dimensional solutions of equations of the theory of thermoelasticity in the cylindrical coordinate system
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Construction of three-dimensional solutions of equations of the theory of thermoelasticity in the cylindrical coordinate system
2025
Overview
A linear model of the theory of thermoelasticity for an isotropic body in the cylindrical coordinate system is considered. The stationary temperature satisfies a three-dimensional Laplace equation. The general solution of the system of Navier’s differential equations, which describes the thermoelastic stress state of the body, is presented as a sum of homogeneous and partial solutions. The partial solution, which does not contain elastic displacements, is called the temperature solution. The theorem states that the sum of normal temperature stresses is zero. To solve the Navier’s equations, the temperature is presented as a Fourier-Bessel series, according to which properties the temperature solution of the Navier’s equations is constructed. Analytical formulas for the description of temperature displacements and stresses in explicit form are given. The general solution of the equations of the theory of thermoelasticity in terms of four harmonic functions is presented.
Publisher
Springer US,Springer,Springer Nature B.V
