Partial differential equations of classical structural members a consistent approach /
The derivation and understanding of Partial Differential Equations relies heavily on the fundamental knowledge of the first years of scientific education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills. Thus, it is a challenging topic for pros...
| Main Author: | Öchsner, Andreas, |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
[2020]
|
| Physical Description: |
1 online resource (viii, 92 pages) : illustrations (some color). |
| Series: |
SpringerBriefs in applied sciences and technology. Continuum Mechanics.
|
| Subjects: |
Table of Contents:
- Intro; Preface; Contents; 1 Introduction to structural modeling; References; 2 Rods or bars; 2.1 Introduction; 2.2 Kinematics; 2.3 Constitution; 2.4 Equilibrium; 2.5 Differential equation; References; 3 Euler-Bernoulli beams; 3.1 Introduction; 3.2 Kinematics; 3.3 Constitution; 3.4 Equilibrium; 3.5 Differential equation; References; 4 Timoshenko beams; 4.1 Introduction; 4.2 Kinematics; 4.3 Equilibrium; 4.4 Constitution; 4.5 Differential equation; References; 5 Plane members; 5.1 Introduction; 5.2 Kinematics; 5.3 Constitution; 5.3.1 Plane stress case; 5.3.2 Plane strain case; 5.4 Equilibrium.
- 5.5 Differential equation; References; 6 Classical plates; 6.1 Introduction; 6.2 Kinematics; 6.3 Constitution; 6.4 Equilibrium; 6.5 Differential equation; References; 7 Shear deformable plates; 7.1 Introduction; 7.2 Kinematics; 7.3 Constitution; 7.4 Equilibrium; 7.5 Differential equation; References; 8 Three-dimensional solids; 8.1 Introduction; 8.2 Kinematics; 8.3 Constitution; 8.4 Equilibrium; 8.5 Differential equation; References; 9 Introduction to transient problems : rods or bars; 9.1 Introduction; 9.2 Kinematics; 9.3 Constitution; 9.4 Equilibrium; 9.5 Differential Equation; References.