Richard E. Goodman’s research while affiliated with University of California, Berkeley and other places

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Publications (19)


Erratum for “Duplication of Dilatancy in Analysis of Jointed Rocks”
  • Article

February 1973

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1 Read

Journal of the Soil Mechanics and Foundations Division

Richard E. Goodman

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Jacques Dubois

Undrained shear testing of jointed rock

January 1973

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14 Reads

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45 Citations

Undrained Shear Testing of Jointed Rock Water pressures must change inside joints undergoing shear without perfect drainage. This paper describes a new direct shear machine in which jacketed samples with oriented joints can be tested under consolidated undrained conditions with pore pressure measurement. Triaxial compression techniques for such tests are also described and typical results with intact and jointed sandstone samples are compared with results from the direct shear tests. Whereas intact specimens displayed increasing pore pressure followed by dilatancy and pore pressure decline before peak loading, the pore pressure in jointed specimens continued increasing right up to the peak load.


Duplication of Dilatancy in Analysis of Jointed Rocks

April 1972

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25 Reads

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72 Citations

Journal of the Soil Mechanics and Foundations Division

The examples in this paper demonstrate that dilatancy parameters affect the results of stress and limit equilibrium analyses of jointed rock masses. A sophisticated analogue intended for computer modeling was presented and a working program based on finite element analysis has proved to give reasonable results. The analogue can also be introduced in closed form analytical formulations. Though originated to describe movements of blocks across single joints, the same approach can be used to describe movement of blocks across stepped sliding surfaces compiled from two intersecting joint sets. In this case, the compound sliding surface is replaced by a single equivalent surface whose stiffness coefficients reflect the angular relations of the mean plane and the joint sets. As new data on joint dilatancy become available, they should be incorporated in rock mechanics practice.


Research on Strength-Deformability-Water Pressure Relationships for Faults in Direct Shear

April 1972

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4 Reads

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11 Citations

A program of direct shear tests on samples of rock joints was initiated to gain an improved picture of the deformation and strength of jointed rock masses under load. The shear testing machine, developed under an NSF grant, and improved during this project, allows water pressure to be monitored in the joint plane during shearing. Seventy-two tests were conducted in this first year of an intended 3 year's program; artificial joints were created in two rock types--granite and sandstone-- with varying wall roughness, filling material thickness, and environmental conditions. Joints and faults exert controls on rock movement below ground and their weakness and deformability limit the 'hardness' of underground sites. Furthermore, water pressure phenomena create difficulties for design and construction. This research has added to the technology basis to rational engineering with rock masses. In the work, basic phenomena of jointed rock are being examined experimentally for the first time permitting formulation of correct constitutive laws for joints that are vital to numerical and physical modelling. (Author)


Numerical analyses of deformability tests in jointed rock — “Joint Perturbation” and “No Tension” Finite Element solutions

January 1971

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6 Reads

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18 Citations

Numerical Analyses of Deformability Tests in Jointed Rock — “Joint Perturbation” and “No Tension” Finite Element Solutions Sound design of structures in or upon rock requires a thorough knowledge of the rock mass deformability. Field test data interpretation has generally relied upon analytical or Finite Element linear elastic solutions. However, when testing in jointed rock, these can no longer be readily used since the medium cannot resist the tension induced upon loading. Accordingly, other solutions are required. If the discontinuities of the rock mass can all be mapped and their surface properties determined, the Finite Element model will use a “Joint Perturbation” solution where the “joint” elements have variable stiffnesses to account for movements along the fractures. If the discontinuities cannot be satisfactorily mapped, a global approach is provided by a “No Tension” analysis of the “stress transfer” type. The two techniques are compared in the case of bore hole jack deformability tests and found to agree remarkably well, indicating an appreciable difference from results of linear elasticity.




A Model for the Mechanics of Jointed Rock

May 1968

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329 Reads

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1,092 Citations

Journal of the Soil Mechanics and Foundations Division

The representation of discontinuities in analysis of blocky rock is discussed. A linkage type element is developed for addition of rock joint stiffness to the structural stiffness matrix describing the behavior of a system of rock blocks and joints. Several basic problems of jointed rock are studied. These examples demonstrate the marked influence joints may have on the stress distribution, displacements, and failure pattern of an underground opening or other structures in jointed rock. A new classification of joints is introduced, based on the application of the joint element to finite element analysis of structures in jointed rock. Normal stiffness, tangential stiffness, and shear strength are used as parameters in the classification system. The methods discussed in this paper allow a jointed rock mass to be treated as a system of blocks and links. Just as analysis of a reinforced concrete building requires detailed knowledge of the behavior of concrete alone and steel alone, the joint stiffness approach calls for and uses detailed description of the behavior of rock blocks and rock joints independently.




Citations (14)


... Within this context, this paper proposes a Finite Element model based on elastic continuum with zero-thickness interface elements of the Goodman type. 39 These interface elements, which are placed along the contact surfaces between the continuum finite elements (equivalent to the ''cohesive'' elements used in other studies), are equipped with a recently developed fracture-based visco-plastic constitutive law. 40 The model, which also includes an excavation procedure to remove spalled blocks totally detached from the rock mass, is discussed and applied in the context of rock spalling in deep underground excavations in hard, brittle rock. ...

Reference:

Numerical modeling of rock spalling around a tunnel using visco-plastic interface elements and a rock removal strategy
A Model for the Mechanics of Jointed Rock
  • Citing Article
  • May 1968

Journal of the Soil Mechanics and Foundations Division

... The term "Kinematic" describes how potentially unstable rock blocks move, and the forces that cause them movement are not mentioned (Goodman 1989). Many researchers have used stereographic projection method to identify failure modes (Cruden 1978;Goodman 1976;Hocking 1976;Hoek and Bray 1981;Kincal 2014;Lucas 1980;Matherson 1989;Panet et al. 1969). Kinematic analysis can be conducted in either a deterministic or probabilistic manner. ...

Discussion of “Graphical Stability Analysis of Slopes in Jointed Rock”
  • Citing Article
  • March 1969

Journal of the Soil Mechanics and Foundations Division

... The average of the strong and weak chains forms an associated band, so the Cauchy stress concept can be applied to the soil mass. Because of their uniformity, stresses in an infinite soil slope are considered to derive the formulas of K 0 , noting that in the natural state, the granular soil is at rest when limited by a horizontal surface (Terzaghi 1943), and reaches the state of failure when it is bounded by an inclined plane according to the peak angle of friction, ϕ (Seed and Goodman 1964). For the geostatic stress state, i = 0, and ...

Earthquake Stability of Slopes of Cohesionless Soils
  • Citing Article
  • November 1964

Journal of the Soil Mechanics and Foundations Division

... The subway station was assumed to be made of reinforced concrete that was assumed to be linearly elastic, with an elastic modulus of 3.6 × 10 7 kPa, a Poisson's ratio of 0.2, and a unit weight of 2.5 × 10 3 kN/m 3 . The interface between the sandy soil and the subway station was modeled by using Goodman contact elements (Goodman, Taylor, and Brekke 1968). ...

Model for the mechanics of jointed rock
  • Citing Article
  • January 1968

Journal of the Soil Mechanics and Foundations Division

... -Trường hợp thứ hai là mặt đường BTXM đổ tại chỗ cho đường có quy mô giao thông rất nặng. Lúc này tấm BTXM được chọn với kích thước 4,5 m×4,5 m×0,26 m đặt trên lớp móng trên bằng bê tông nghèo dày 0, 16 Tấm BTXM được giả thiết có các cạnh tự do, toàn bộ hệ làm việc trong giai đoạn đàn hồi. ...

Duplication of Dilatancy in Analysis of Jointed Rocks
  • Citing Article
  • April 1972

Journal of the Soil Mechanics and Foundations Division

... Many studies have been conducted to assess the strength and deformation characteristics as well as the excavation responses of jointed rock masses. Theoretical investigations mainly focused on the prediction of the mechanical parameters of jointed rock masses based on superposition theory (Goodman et al., 1968;Jaeger et al., 2007), elasto-plastic damage theory (Chen et al., 2010;Yang et al., 2019), or displacement discontinuity method (Shen et al., 2016;Do and Wu, 2020). In experimental investigations, researchers obtained stressstrain relationships by conducting triaxial compression tests and validated the theoretical predictions through comparative analysis with the experimental results (Nova, 1980;Tien and Kuo, 2001;Singh et al., 2002;Tien et al., 2006;Chen et al., 2012;Chang et al., 2019). ...

A model for the mechanical failure of jointed rock
  • Citing Article
  • January 1968

... There is no direct way to model dynamic porepressure in the Newmark analysis, and so this analysis should be applied with great caution (or not at all) in situations where significant dynamic pore-pressures can develop. Laboratory model tests (Goodman and Seed, 1966;Wartman et al., 2003Wartman et al., , 2005) and analyses of earthquake-induced landslides in natural slopes (Wilson and Keefer, 1983) confirm that Newmark's method can fairly accurately predict slope displacements if slope geometry, soil properties, and earthquake ground motions are known. Newmark's method is simple to apply and provides an estimate of the inertial landslide displacement resulting from a given earthquake strong-motion record. ...

Earthquake-Induced Displacements in Sand Embankments
  • Citing Article
  • March 1966

Journal of the Soil Mechanics and Foundations Division

... Faults are important structural factors, which cause instability of the surrounding rock in underground engineering. At present, simulated faults are simplified by using long and thin solid elements in most numerical calculations [11,12]. However, faults in real-world, large underground caverns are 3 generally crisscrossed and complex, greatly increasing the difficulty of finite element modelling. ...

A model for the mechanics of joint rock
  • Citing Article
  • January 1968

... A variety of soft-sediment deformation structures, identified in the Onikobe and Nakayamadaira Basins in Japan, may be used to discuss one of the most important challenges in studies on soft-sediment deformation, namely, the triggering mechanism. The term soft-sediment deformation refers to a wide variety of sedimentary conditions and styles of deformation [2] which have been well documented in the literature [3][4][5][6][7][8][9][10][11][12][13]. However, these methods of survey and countermeasures are still in the developmental stages and have not yet been clearly established. ...

Model experiments on the earthquake response of soil-filled basins
  • Citing Article
  • January 1966

Geological Society of America Bulletin

... When the thickness of filling materials (t) exceeds the amplitude of discontinuity asperities (a), the joint shear strength is mainly controlled by the filling material (Fereidooni 2017, Indraratna et al. 2014, Khosravi et al. 2016. If the ratio of t/a reaches 3, the joint shear strength is reduced to the strength of the filling material (Goodman et al. 1972). Therefore, the strength properties of the clayey filling, mentioned earlier, were considered for the fault. ...

Research on Strength-Deformability-Water Pressure Relationships for Faults in Direct Shear
  • Citing Article
  • April 1972