Mathematical Model of Constitutive Relation and Failure Criteria of Plastic Concrete under True Triaxial Compressive Stress

Abstract

To establish the mathematic model of the constitutive relation and failure criteria of plastic concrete under true triaxial compressive stress, uniaxial compressive strength and true triaxial compressive strength of plastic concrete under three kinds of confining pressures with a size of 150 × 150 × 150 mm3 and a curing age of 540 days were tested, and the elastic modulus of plastic concrete with a size of 150 × 150 × 300 mm3 and a curing age of 90 days was tested. Based on the database, under uniaxial compressive stress tests and true triaxial compressive stress tests, the mathematic model of constitutive relation and the failure criteria of plastic concrete were investigated. It was observed that the strength of plastic concrete increased with confining stress. The mathematic model of constitutive relation in the form of the quartic polynomial is in good agreement with measured data. The general equations of failure criteria based on the octahedral stress-space under true triaxial compressive stress in the form of quadratic polynomial are well-fitting with experimental data. The mathematic model of constitutive relation and failure criteria of plastic concrete could provide the basis for a numerical simulation analysis of plastic concrete under true triaxial compressive stress, as well as promote the engineering application of plastic concrete.

Stress-Strain State of Steel Fiber-Reinforced Concrete under Compression Taking into Account Unloading from Inelastic Region

“…На основании обработки полученных экспериментальных данных получена аналитическая зависимость между напряжениями и деформациями сталефибробетона при сжатии, которая аппроксимируется полиномиальной функцией четвертой степени [25]:…”

Stress–strain behavior and constitutive relation of rubberized plastic concrete under uniaxial and triaxial compression

“…Gao et al 14 have established the constitutive model of plastic concrete by referring to the form of the piecewise constitutive model of normal concrete. Based on the experimental data, Hu et al 15 fitted the constitutive relation mathematical model of the form of quartic polynomial. The failure form of plastic concrete under triaxial compression shows the characteristics of molar Coulomb.…”

“…Song et al 16 made three formulas with four parameters, three parameters and two parameters to express the failure criterion of plastic concrete under true triaxial compression. Based on the octahedral stress space, Hu et al 15 proposed the quadratic polynomial form of true triaxial compressive stress failure criterion based on the test data.…”

Comparative Analysis of Common Strength Criteria of Soil Materials

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