Analytical modeling of reinforced concrete in tension
Naval Civil Engineering Laboratory, 1989 - Technology & Engineering - 33 pages
A smeared crack approach to fracture of concrete in mode I was implemented in the finite element program ADINA. Nonlinear concrete elements with tensile cracking were modified to include tensile strain softening. When an element at an integration point cracks, the stiffness perpendicular to the crack is reduced to zero and the tensile stress across it is set as a function of the crack opening. Equilibrium iterations were implemented to redistribute stress. Two- and three-dimensional models of a single edge notched beam in three-point bending were analyzed and compared to experimental results with good agreement. The analytical representation of mixed mode fracture was also addressed. The mechanisms of shear transfer across a crack were detailed, and the rough crack model, relating shear stress to crack opening, is presented with discussions on orientation of successive crack planes, tensorial invariance, and snap-back phenomena. Problems are identified with modeling bond at the concrete/reinforcement interface and its effect on crack patterns. Keywords: Fracture mechanisms; Crack propagation; Mixed mode; Shear; Bond tension; Softening; Fracture energy; ADINA computer programs. (SDW).
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aggregate interlock ajenbs Alexandria American Society analysis of reinforced band width behavior bond stress-slip relationship Borst C-CS CALL DCRAK3 Civil Engineers Code COMMON SOFT Computers and Structures contact element Crack Band Model crack opening crack pattern crack propagation crack width cracked elements crete CRKSTR CRKSTR(KK edge notched beam element width Engrg FALSTR Fictitious Crack Model finite element analysis Finite Element Methods fracture energy fracture mechanics fracture of concrete GMAC implemented in ADINA integration point IUSER Library linear elastic linear softening mechanisms of shear mesh mixed mode fracture NAVFACENGCOM nonlinear concrete elements nonlinear softening Port Hueneme reinforced concrete Report retention factor rotating crack model Rough Crack Model S I GP shear stress shear transfer shown in Figure single edge notched sjaiaui smeared crack approach snap-back phenomena Society of Civil strain softening stress transfer successive crack planes tensile strain tensile strength tensile stress WWCC Z.P. Bazant