Advanced numerical investigation of Terzaghi's superposition theory

P. K. Woodward, A. P. Berenji

    Research output: Contribution to journalArticle

    Abstract

    Traditionally the analysis of footings embedded in granular soils has been one of the most difficult finite element simulations to be attempted in geomechanics. This is particularly noticeable by a general lack of published work in foundation analysis using finite elements in the literature. Because of the difficulties involved most of the work performed in this area has concentrated on the use of simple linear elastic, perfectly plastic Mohr-Coulomb constitutive soil models. This paper advances the state-of-the-art by describing the use of a non-linear elastic multi-surface kinematic soil model for the simulation of circular foundations embedded in a particular granular soil. The paper first computes the bearing capacity factors Ny and Nq separately, then checks Terzaghi's superposition theory by simulating an embedded foundation (modelled as a surface foundation with an initial surcharge). It is well known that the bearing capacity factor Ny is a function of the foundation width. The paper confirms this, and also shows that the bearing capacity factor Nq is actually related to the foundation depth. © 2001 Civil-Comp Ltd and Elsevier Science Ltd. All rights reserved.

    Original languageEnglish
    Pages (from-to)797-804
    Number of pages8
    JournalAdvances in Engineering Software
    Volume32
    Issue number10-11
    DOIs
    Publication statusPublished - Oct 2001

    Fingerprint

    Bearing capacity
    Soils
    Geomechanics
    Kinematics
    Plastics
    Finite element method

    Keywords

    • Bearing capacity
    • Finite elements
    • Footings
    • Terzaghi

    Cite this

    Woodward, P. K. ; Berenji, A. P. / Advanced numerical investigation of Terzaghi's superposition theory. In: Advances in Engineering Software. 2001 ; Vol. 32, No. 10-11. pp. 797-804.
    @article{0cc3d7413e0c4ce5977e9eae36d1c1ee,
    title = "Advanced numerical investigation of Terzaghi's superposition theory",
    abstract = "Traditionally the analysis of footings embedded in granular soils has been one of the most difficult finite element simulations to be attempted in geomechanics. This is particularly noticeable by a general lack of published work in foundation analysis using finite elements in the literature. Because of the difficulties involved most of the work performed in this area has concentrated on the use of simple linear elastic, perfectly plastic Mohr-Coulomb constitutive soil models. This paper advances the state-of-the-art by describing the use of a non-linear elastic multi-surface kinematic soil model for the simulation of circular foundations embedded in a particular granular soil. The paper first computes the bearing capacity factors Ny and Nq separately, then checks Terzaghi's superposition theory by simulating an embedded foundation (modelled as a surface foundation with an initial surcharge). It is well known that the bearing capacity factor Ny is a function of the foundation width. The paper confirms this, and also shows that the bearing capacity factor Nq is actually related to the foundation depth. {\circledC} 2001 Civil-Comp Ltd and Elsevier Science Ltd. All rights reserved.",
    keywords = "Bearing capacity, Finite elements, Footings, Terzaghi",
    author = "Woodward, {P. K.} and Berenji, {A. P.}",
    year = "2001",
    month = "10",
    doi = "10.1016/S0965-9978(01)00031-X",
    language = "English",
    volume = "32",
    pages = "797--804",
    journal = "Advances in Engineering Software",
    issn = "0965-9978",
    publisher = "Elsevier Limited",
    number = "10-11",

    }

    Advanced numerical investigation of Terzaghi's superposition theory. / Woodward, P. K.; Berenji, A. P.

    In: Advances in Engineering Software, Vol. 32, No. 10-11, 10.2001, p. 797-804.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Advanced numerical investigation of Terzaghi's superposition theory

    AU - Woodward, P. K.

    AU - Berenji, A. P.

    PY - 2001/10

    Y1 - 2001/10

    N2 - Traditionally the analysis of footings embedded in granular soils has been one of the most difficult finite element simulations to be attempted in geomechanics. This is particularly noticeable by a general lack of published work in foundation analysis using finite elements in the literature. Because of the difficulties involved most of the work performed in this area has concentrated on the use of simple linear elastic, perfectly plastic Mohr-Coulomb constitutive soil models. This paper advances the state-of-the-art by describing the use of a non-linear elastic multi-surface kinematic soil model for the simulation of circular foundations embedded in a particular granular soil. The paper first computes the bearing capacity factors Ny and Nq separately, then checks Terzaghi's superposition theory by simulating an embedded foundation (modelled as a surface foundation with an initial surcharge). It is well known that the bearing capacity factor Ny is a function of the foundation width. The paper confirms this, and also shows that the bearing capacity factor Nq is actually related to the foundation depth. © 2001 Civil-Comp Ltd and Elsevier Science Ltd. All rights reserved.

    AB - Traditionally the analysis of footings embedded in granular soils has been one of the most difficult finite element simulations to be attempted in geomechanics. This is particularly noticeable by a general lack of published work in foundation analysis using finite elements in the literature. Because of the difficulties involved most of the work performed in this area has concentrated on the use of simple linear elastic, perfectly plastic Mohr-Coulomb constitutive soil models. This paper advances the state-of-the-art by describing the use of a non-linear elastic multi-surface kinematic soil model for the simulation of circular foundations embedded in a particular granular soil. The paper first computes the bearing capacity factors Ny and Nq separately, then checks Terzaghi's superposition theory by simulating an embedded foundation (modelled as a surface foundation with an initial surcharge). It is well known that the bearing capacity factor Ny is a function of the foundation width. The paper confirms this, and also shows that the bearing capacity factor Nq is actually related to the foundation depth. © 2001 Civil-Comp Ltd and Elsevier Science Ltd. All rights reserved.

    KW - Bearing capacity

    KW - Finite elements

    KW - Footings

    KW - Terzaghi

    UR - http://www.scopus.com/inward/record.url?scp=0035476190&partnerID=8YFLogxK

    U2 - 10.1016/S0965-9978(01)00031-X

    DO - 10.1016/S0965-9978(01)00031-X

    M3 - Article

    VL - 32

    SP - 797

    EP - 804

    JO - Advances in Engineering Software

    JF - Advances in Engineering Software

    SN - 0965-9978

    IS - 10-11

    ER -