Analysis of Uniaxial Compression Failure of Confined Concrete by Three Dimensional Rigid Body Spring Model

Shear Resistance Mechanism Evaluation of RC Beams Based on Arch and Beam Actions

“…The authors have developed the 3-D RBSM (Yamamoto et al 2008) in order to quantitatively evaluate the mechanical responses including softening and localization fractures, and have shown that the model can well simulate the cracking and failure behaviors of RC members (Yamamoto et al 2010;Gedik et al 2011Gedik et al , 2012Yamamoto et al 2014;Iwamoto et al 2017;Fu et al 2017). In RBSM, concrete is modeled as an assemblage of rigid particles interconnected by springs at their boundary surfaces (Fig.…”

“…The constitutive models for tension, compression and shear springs used in 3-D RBSM were constructed by uniaxial relationships. The details of the models and the related model parameters for monotonic loading analysis were described in the several papers (Yamamoto et al 2008(Yamamoto et al , 2010.…”

“…3-D RBSM is one of the discrete approaches and proven to be an effective tool in simulating crack propagation realistically and visualizing stress distribution in concrete. The method has been applied several problems and suc-cess to simulate accurately not only global behavior such as load-displacement relationship but also local behavior such as crack and stress distribution (Yamamoto et al 2010;Gedik et al 2011Gedik et al , 2012Yamamoto et al 2014;Iwamoto et al 2017;Fu et al 2017). Especially, Iwamoto et al (2017) evaluated the shear resistance mechanism of RC beams with shear span depth ratio (a/d) of 3.14 based on arch and beam actions by using RBSM.…”

Collapse simulation of reinforced concrete including localized failure and large rotation using extended RBSM

“…In this chapter, at first, basic concepts, constitutive models, modeling of reinforcing steel bar of the existing RBSM proposed by the authors [13,14,17], which is the basis of the extension model proposed in this study, are briefly described. Then, an extended RBSM considering geometric non-linearity including finite rotation is described.…”

“…They have shown that the model can represent the multi-axial compression behaviour including softening and damage localization with the simple constitutive models. The authors have also developed the three-dimensional RBSM and constitutive models to quantitatively evaluate mechanical response of concrete including strain softening and damage localization behavior under various stress conditions [13,14], and have also demonstrated that the model can well simulate cracking and damage localization behavior in concrete and reinforced concrete structures [15][16][17][18]. However, since the existing lattice and particle type discretization models including the RBSM do not consider a geometric nonlinearity, they cannot reproduce collapse behavior including large displacement and large rotation which occur after softening and damage localization of concrete.…”