On the numerical integration of the stress equilibrium equations governing the ideal plastic plane deformation of a granular material

DOI10.1007/BF01175803zbMath0592.73135OpenAlexW2335550665MaRDI QIDQ1075831

B. George

Publication date: 1985

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01175803

zbMATH Keywords

numerical integrationhyperbolicgranular materialself-weightCoulomb yield criterionstress equilibrium equationsideal plastic plane deformationlocal rotation of the axesstress characteristic field

Mathematics Subject Classification ID

Soil and rock mechanics (74L10) Plastic materials, materials of stress-rate and internal-variable type (74C99) Numerical integration (65D30)

Related Items

On the energy dissipation and velocity discontinuities in granular materials and solution of a boundary value problem in geophysics ⋮ Three-dimensional constitutive equations for rigid/perfectly plastic granular materials ⋮ Geometry of principal stress trajectories for piece‐wise linear yield criteria under axial symmetry ⋮ A numerical method for determining the strain rate intensity factor under plane strain conditions ⋮ Geometry of plane strain characteristic fields in pressure-dependent plasticity

Cites Work

• Initial planar deformation of dilatant granular materials
• A theory of the kinematics of ideal soils under plane strain conditions
• A continuum theory for granular materials
• Soil mechanics and plastic analysis or limit design
• Unnamed Item
• Unnamed Item