Review of validation of the discontinuous deformation analysis (DDA) method

MacLaughlin, Mary; Doolin, David M.

doi:10.1002/nag.427

Cited by 149 publications

(54 citation statements)

References 34 publications

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“…MacLaughlin and Doolin [7] review more than 100 validation studies with respect to analytical solutions, laboratory and field data, and other numerical techniques. DDA performance was found to be more than adequate for engineering applications.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions

Kamai

Hatzor

2007

Num Anal Meth Geomechanics

107

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SUMMARYAn innovative approach is presented, in which the discontinuous deformation analysis (DDA) method is used to estimate historic ground motions by back analysis of unique structural failures in archaeological sites. Two archaeological sites in Israel are investigated using this new approach and results are presented in terms of displacement evolution of selected structural elements in the studied masonry structure. The response of the structure is studied up to the point of incipient failure, in a mechanism similar to the one observed in the field. Structural response is found to be very sensitive to dynamic parameters of the loading function such as amplitude and frequency.Prior to back analysis of case studies, two validations are presented. Both compare the performance of DDA with analytical solutions and present strong agreement between the two.Using comprehensive sensitivity analyses, the most likely peak ground acceleration (PGA) and frequency that must have driven the observed block displacements are found for the two case studies-the Nabatean city of Mamshit and the medieval fortress of Nimrod in southern and northern Israel, respectively. It is found that horizontal peak ground accelerations (HPGA) of 0.5g and 1g were required to generate the observed deformations in Mamshit and Nimrod, respectively. Although these might seem too high, considering structural and topographic amplifications it is concluded that the analyses suggest ground motions of 0.2g at a frequency of 1.5 Hz for Mamshit and up to 0.4g at a frequency of 1 Hz for Nimrod. These values provide constraints on the seismic risk associated with these regions as appears in the local building code using a completely independent approach.

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Section: Introductionmentioning

confidence: 99%

Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions

Kamai

Hatzor

2007

Num Anal Meth Geomechanics

107

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“…The correctness and effectiveness of DDA have been verified by MacLaughlin and Doolin [3]. The DDA method is established on the block kinetics; the block dynamic analysis of DDA has been confirmed by many scholars [4][5][6].…”

Section: Introductionmentioning

confidence: 87%

Study on the Damping of the Discontinuous Deformation Analysis Based on Two‐Block Model

Feng

Jiang

et al. 2017

Mathematical Problems in Engineering

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The deformation and failure of rock mass is a process of energy dissipation; the damping of DDA is a very important and basic problem. The correctness and effectiveness of DDA rely on the appropriate values of the numeric controlling parameters like time interval, spring stiffness, and assumed maximum displacement ratio 2 , and the contact using the penalty method is the core content of DDA. A mechanical model of two contact blocks loaded with the normal force acting along one side of block boundary is established to study the DDA damping problem, which involves the contact and eliminates the influence of some numeric control parameters (e.g., 2 ). Based on the Newmark method and the theory of DDA, the motion equations of two-block system can be established, and then the relationship of some numeric control parameters and the influence of damping can be obtained. The algorithmic damping increases with the increasing of time interval. Given a very small time interval, the spring stiffness may have no obvious effect on the algorithmic damping. The numerical results reveal that the essence of time interval influencing the openclose iteration is the fact that the algorithmic damping is mainly controlled by time interval.

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“…The DDA was originally created by Shi and Goodman [7,8] and further developed by many researchers [16][17][18][19][20][21][22][23][24] (MacLauglin and Doolin reviewed the developments and applications of DDA comprehensively in Reference [25]). DDA method shares many common features with FEM for stress and deformation analysis of a deformable continuum body, and with distinct element method (DEM) for the block-fracture system configuration and treatment of inter-block contacts.…”

Section: Dda Formulationmentioning

confidence: 99%

Modeling the interaction between fluid flow and particle movement with discontinuous deformation analysis (DDA) method

Koyama

Nishiyama

Yang

et al. 2010

Num Anal Meth Geomechanics

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SUMMARYCoupled hydro-mechanical processes in granular media represent the interaction between solid particles movement and fluid flow during external and/or internal loading. The processes attract attention in geotechnical engineering since they cause many disasters such as landslide, slope collapse, boiling/quicksand and soil liquefaction, etc. This study presents a numerical method combining discontinuous deformation analysis (DDA) for mechanical calculation and finite element method for fluid flow simulation to model the interaction between solid particles' movement and fluid flow from microscopic point of view. The term of hydraulic pressure was newly formulated and introduced to the original DDA. The simplified examples are given to verify the new method, and the computational results correlate well with the theoretical calculations, further development is also considered.

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Review of validation of the discontinuous deformation analysis (DDA) method

Cited by 149 publications

References 34 publications

Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions

Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions

Study on the Damping of the Discontinuous Deformation Analysis Based on Two‐Block Model

Modeling the interaction between fluid flow and particle movement with discontinuous deformation analysis (DDA) method

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