Format:
iii, 28 Seiten
,
Illustrationen
Series Statement:
CRREL Report 78-7
Content:
The theory of non-coaxial in-plane plastic deformation of soils that obey the Coulomb yield criterion is presented. The constitutive equations are derived by use of the geometry of the Mohr circle and the theory of characteristic lines. It is found that, for solving a boundary value problem, the non-coaxial angle must be given such values that enable us to accommodate the presupposed type of flow in the given domain satisfying the given boundary conditions. The non-coaxial angle is contained in the constitutive equations as a parameter. Therefore, the plastic material obeying the Coulomb yield criterion is a singular material whose constitutive equations are not constant with material but are variable with flow conditions.
Note:
MAB0014.001: ZSP-201-78/7
,
CONTENTS
Abstrac
Preface
Introduction
Analysis of stress
Geometry of the Mohr circle
Stress characteristic directions
Analysis of strain rate
Constitutive equations
Strain-rate characteristic directions
Constitutive geometry
Strain-rate tensor
The dyadic expression
Plastic work rate
Coordinate transformation
Example
The stress solution
Velocity equations in the a-characteristic curvilinear coordinates
The constant speed solution
Velocity equations in the constant density region
Solution in the first constant-density subregion
Solution in the second constant-density subregion
Solution in the passive region
Conclusion
Literature cited
In:
CRREL Report, 78-7
Language:
English
Keywords:
Forschungsbericht
URL:
https://hdl.handle.net/11681/9410
