1996
DOI: 10.1002/(sici)1096-9853(199612)20:12<865::aid-nag854>3.0.co;2-a
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An Eulerean Finite Element Model for Penetration in Layered Soil

Abstract: SUMMARYAn Eulerean large-strain finite element formulation is presented to simulate static soil penetration. The method is an extension of the Updated Lagrangean description to an Eulerean formulation taking into account convection of deformation-history-dependent properties as well as material properties. The strength of the soil is characterized by a non-associated Drucker-Prager criterion which depends on peak and critical friction angles. The model is applied to cone penetration in two-layer systems: (a) c… Show more

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Cited by 58 publications
(22 citation statements)
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“…Depending on the discretisation of materials, the ALE FE approaches focusing on geotechnical applications are divided into two categories: mesh-based methods such as in van den Berg et al [40], Hu and Randolph [13], Susila and Hryciw [33] and Sheng et al [30], which are the concern of this paper; and particle-based methods such as material point method [32,4]. In the mesh-based ALE approach with the operator-split technique, each incremental step includes a Lagrangian phase and an Eulerian phase.…”
Section: Introductionmentioning
confidence: 99%
“…Depending on the discretisation of materials, the ALE FE approaches focusing on geotechnical applications are divided into two categories: mesh-based methods such as in van den Berg et al [40], Hu and Randolph [13], Susila and Hryciw [33] and Sheng et al [30], which are the concern of this paper; and particle-based methods such as material point method [32,4]. In the mesh-based ALE approach with the operator-split technique, each incremental step includes a Lagrangian phase and an Eulerian phase.…”
Section: Introductionmentioning
confidence: 99%
“…Yue & Yin (1999) extended this work using rigorous analytical solutions for the static responses of ring type concentrated body forces and examined soil layering effects in both compressible and incompressible soils. Van den Berg et al (1996) presented an Eulerian analysis of the cone penetration test in multi-layered soils. The cone was modelled as a fixed boundary and the penetration process was simulated by applying incremental displacements to the material at the bottom of the mesh.…”
Section: Introductionmentioning
confidence: 99%
“…Conventional finite elements models have been extended to plasticity of soils [13][14][15][16][17], geometrical non-linearity [18][19][20], porous media [21][22][23][24] as well as flow models [25,26]. At the same time a large amount of geotechnical and civil engineering applications have been analysed by the FEM [27][28][29][30].…”
Section: Introductionmentioning
confidence: 99%
“…To avoid a large mesh distortion that occurs in the large cone penetration analysis, van den Berg ( 1994,1996) [25,26] uses an arbitrary Lagrangian-Eulerian formulation to uncoupled nodal point displacements and velocities from material displacements and velocities. Uncoupling of material and nodal point displacements implies that convection has to be taken into account to be able to update the state at the nodal points.…”
Section: Introductionmentioning
confidence: 99%