Simulating Tensile and Compressive Failure Process of Concrete with a User-defined Bonded-Particle Model

International Journal of Concrete Structures and Materials

Table 6 Comparison of relevant stress indexes for mark points.

Group	Stress indexes	Uniaxial tensile tests			Uniaxial compressive tests
Group	Stress indexes	Simulation	Experiment	Relative error (%)	Simulation	Experiment	Relative error (%)
CA	\(\breve{\sigma }_{ini}\)		1.38 MPa	\(2.9\)		9.82 MPa	\(0.3\)
	\(\breve{\sigma }_{pro}\)	1.42 MPa			9.85 MPa
	\(\breve{\sigma }_{max}\)	2.22 MPa	2.13 MPa	\(4.2\)	22.85 MPa	24.54 MPa	\(-6.9\)
	\(\breve{\sigma }_{res}\)	0.84 MPa	0.93 MPa	\(-9.7\)	14.66 MPa	\(17.13MPa^*\)	\(-14.4\)
	\(\breve{\sigma }_{ini} / \breve{\sigma }_{max}\)		0.65	\(-1.5\)		0.40	\(7.5\)
	\(\breve{\sigma }_{pro} / \breve{\sigma }_{max}\)	0.64			0.43
	\(\breve{\sigma }_{res} / \breve{\sigma }_{max}\)	0.38	0.44	\(-13.6\)	0.64	0.70	\(-8.6\)
CB	\(\breve{\sigma }_{ini}\)		1.90 MPa	\(-3.2\)		14.98 MPa	\(-7.2\)
	\(\breve{\sigma }_{pro}\)	1.84 MPa			13.90 MPa
	\(\breve{\sigma }_{max}\)	3.06 MPa	2.92 MPa	\(4.8\)	36.01 MPa	37.44 MPa	\(-3.8\)
	\(\breve{\sigma }_{res}\)	1.31 MPa	0.97 MPa	\(35.1\)	21.82 MPa	18.88 MPa	\(15.6\)
	\(\breve{\sigma }_{ini} / \breve{\sigma }_{max}\)		0.65	\(-7.7\)		0.40	\(-2.5\)
	\(\breve{\sigma }_{pro} / \breve{\sigma }_{max}\)	0.60			0.39
	\(\breve{\sigma }_{res} / \breve{\sigma }_{max}\)	0.43	0.33	\(30.3\)	0.61	0.50	\(22.0\)

* The value of residual stress corresponding to double peak strain is taken from empirical curve.