Material Model for Granular Soils

DiMaggio, Frank L.; Sandler, Ivan S.

doi:10.1061/jmcea3.0001427

Cited by 372 publications

(57 citation statements)

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“…The assessed point was on the cap surface, as yielding was active, providing one equation for the unknown quantities—cap eccentricity ( R ) and evolution pressure ( p a ). The second equation was obtained from the flow rule, assumed to be associative (i.e., plastic flow is perpendicular to the yield surface), usually adopted on the cap surface (see e.g., [ 14 , 26 , 33 ]), which yielded:

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Section: Materials and Experimentsmentioning

confidence: 99%

Calibration of Drucker–Prager Cap Constitutive Model for Ceramic Powder Compaction through Inverse Analysis

2021

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Phenomenological plasticity models that relate relative density to plastic strain are frequently used to simulate ceramic powder compaction. With respect to the form implemented in finite element codes, they need to be modified in order to define governing parameters as functions of relative densities. Such a modification increases the number of constitutive parameters and makes their calibration a demanding task that involves a large number of experiments. The novel calibration procedure investigated in this paper is based on inverse analysis methodology, centered on the minimization of a discrepancy function that quantifies the difference between experimentally measured and numerically computed quantities. In order to capture the influence of sought parameters on measured quantities, three different geometries of die and punches are proposed, resulting from a sensitivity analysis performed using numerical simulations of the test. The formulated calibration protocol requires only data that can be collected during the compaction test and, thus, involves a relatively smaller number of experiments. The developed procedure is tested on an alumina powder mixture, used for refractory products, by making a reference to the modified Drucker–Prager Cap model. The assessed parameters are compared to reference values, obtained through more laborious destructive tests performed on green bodies, and are further used to simulate the compaction test with arbitrary geometries. Both comparisons evidenced excellent agreement.

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Section: Materials and Experimentsmentioning

confidence: 99%

Calibration of Drucker–Prager Cap Constitutive Model for Ceramic Powder Compaction through Inverse Analysis

2021

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“…The reinforcement is linear-elastic up to the yield point and the interface shear has an angle of friction δ. The soil is elastic-plastic and can be represented by either the Drucker-Prager model (Drucker et al, 1957) or the Cap model (DiMaggio and Sandler, 1971).…”

Section: Finite Element Methods (Fem)mentioning

confidence: 99%

Root reinforcement: analyses and experiments

2007

Eco-and Ground Bio-Engineering: The Use of Vegetation to Improve Slope Stability

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Simple and complex analytical models of root reinforcement and the associated requirements and limitations are reviewed. Simple models include the limiting equilibrium solution and the cable and pile solutions. The complex model is the finite element method (FEM). The simple models were used to analyze published data from laboratory and in situ shear tests and pullout tests on soils reinforced with synthetic materials and root systems. The models can be used for approximations when the model requirements are met. The FEM was used to simulate experiments and provided more detailed information. These results provide insight on the failure mechanisms. This forms the basis for suggestions on models to be used in stability analysis of slopes.

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“…The yield surface of this model consists of the Drucker-Prager failure line or surface Fs [11] and the elliptic cap surface Fc [12], which provide a combined convex yield surface in the plane of the fIrst and second 'stress invariants (p-q plane) as shown in Figure 2 To describe the powder behavior more realistically -especially with respect to crack formation during pressing, unloading or ejection -the Drucker-Prager-Cap model was modified by Coube and Riedel [13]. It is plausible that not only the hardening functionPa ~ but also the cohesion parameters d, f3 and T as well as the shape of the cap R should depend on the density.…”

Section: Analytical Powder Modelsmentioning

confidence: 99%

“…Nevertheless, the Cap model has been implemented into fmite element codes to simulate densification by DiMaggio and Sandler (1971), [12], Crawford and Lindskog (1983), and Trassoras et. al.…”

Section: Selection Of a Materials Model And Fe Programmentioning

confidence: 99%

Next generation powder compaction process

Haque¹

2021

Preprint

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Powder Compaction Process (PCP) is a production method commonly used in the manufacturing industry today. Several analysis methods for powder compaction process are developed and being used in order to minimize costly experiments, to produce complicated near-net shape and to optimize serial production of details. This thesis has dealt with Finite Element (FE) simulation of the cold compaction process. The reason for simulating cold compaction is to predict relative density distribution in the compact for various powder fill and punch motion options. An evaluation of a number of commercial FE codes has been carried out. The MSC Marc program, which incorporates the Shima Model, has been used for compaction of Fe-based metal powders. The relative density distributions of the pressure models and the displacement models of the cylindrical and the stepped cylindrical geometries obtained via FE simulation in this research are encouraging that agree well with observations made in practice.

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Material Model for Granular Soils

Cited by 372 publications

References 0 publications

Calibration of Drucker–Prager Cap Constitutive Model for Ceramic Powder Compaction through Inverse Analysis

Calibration of Drucker–Prager Cap Constitutive Model for Ceramic Powder Compaction through Inverse Analysis

Root reinforcement: analyses and experiments

Next generation powder compaction process

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