An Endochronic Plasticity Theory for Concrete.
Abstract
A fully three-dimensional endochronic plasticity theory for plain concrete is developed to describe its multi-axial behavior over the stress range below that at which significant cracking occurs. The theory is isotropic and exhibits the important features of concrete behavior, including shear-volumetric coupling, effect of hydrostatic pressure on shear response, hardening, hysteretic effects and stress path dependence. The theory is based on the hypothesis that the current state of stress is a linear functional of the entire history of deformation, with the history defined with respect to a time scale, called intrinsic time, which is itself a property of the material at hand. The theory is proof-tested with remarkable success against an extensive set of complex multi-axial plain concrete data recently obtained by others with a true triaxial device. An analytical procedure for reducing the linear hereditary integral expressions for the stresses to a system of coupled linear ordinary differential equations is described, and a numerical approach is given for treating the resulting governing system of equations under either stress- or strain-controlled conditions. Keywords: Plasticity, Mathematical models, Stress and strain, Stress response, Shear properties.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 20, 1985
- Accession Number
- ADA172512
Entities
People
- H. E. Read
- K. C. Valanis