A plastic-damage model for concrete

A constitutive theory for the inelastic behavior of concrete

The authors present a failure criterion that describes the triaxial strength of concrete in terms of three independent stress invariants. Its geometric representation in principal stress space is convex and smooth and is characterized by two parabolic meridians and a deviatoric section that changes from triangular to circular shape with increasing confinement. The three-parameter description is calibrated from elementary strength data of uniaxial compression and uniaxial tension, as well as equibiaxial compression experiments. The failure criterion is verified with different biaxial and triaxial strength data on plain concrete. Finally, the failure criterion is generalized to a format that includes the standard strength hypotheses of Huber-Mises, Drucker-Prager, Rankine, Mohr-Coulomb, and Leon as special cases.

Triaxial failure criterion for concrete and its generalization

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Strain-softening of concrete under multiaxial loading conditions

It is 100 years since the well-know Mohr-Coulomb strength theory was established in 1900. A considerable amount of theoretical and experimental research on strength theory of materials under complex stress state was done in the 20th Century. This review article presents a survey of the advances in strength theory (yield criteria, failure criterion, etc) of materials (including matellic materials, rock, soil, concrete, ice, iron, polymers, energetic material, etc) under complex stress, discusses the relationship among various criteria, and gives a method of choosing a reasonable failure criterion for applications in research and engineering. Three series of strength theories, the unified yield criterion, the unified strength theory, and others are summarized. This review article contains 1163 references regarding the strength theories. This review also includes a biref discussion of the computational implementation of the strength theories and multi-axial fatigue.

Roger M. Zimmerman

Papers

Compressive Strength of Plain Concrete Under Multiaxial Loading Conditions