摘要:

AbstractTraditionally, sedimentation and self‐weight consolidation have been viewed as physically distinct processes requiring separate treatment. Relatively recently, Pane and Schiffman1and also Philip and Smiles2have suggested that the two processes may be described by a single partial differential equation, essentially that of Gibsonet al.3The former suggests a modification of Terzaghi's effective stress principle while the paper by Philip and Smiles suggests that a suitable modelling of material properties is sufficient. We have adopted the latter approach by allowing for the compressibility of the material in question to change abruptly from finite values to infinity in the so‐called transition region which delineates that portion of space where effective stress is zero from that where effective stress in non‐zero. This procedure gives rise to serious difficulties when trying to solve the governing partial differential equation numerically. These difficulties are circumvented by using a relatively new numerical technique known as the Moving Finite Element (MFE) method. The MFE method is especially effective in solving problems having solutions that characteristically exhibit shock‐like structure. The modelling of sedimentation and self‐weight consolidation from a single governing model is an ideal candidate for MFE due to the abrupt, almost discontinuous change in void ratio displayed in the transiti

ISSN:0363-9061    

DOI:10.1002/nag.1610171102

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

摘要:

AbstractOne of the important factors that lead to errors in settlement predicitions is the degree of precision in obtaining the soil parameters. Most mathematical methods for reliability modelling offered to date in the area of geomechanics are based on the classical probabilistic approach, in which soil properties are treated as random variables. In this paper, a model based on the theory of fuzzy sets is presented to take account of the uncertainty in the soil behaviour. This proposed method considers the elastic modulus and Poisson's ratio as two fuzzy numbers in the elastic matrix. An example is given to show the possibility distributions of the displacements and the stresses at some locations in the soil medium. By means of a fuzzy inference scheme, the total possibility distributions or total membership functions of the finite element results may be obtained by considering the estimated error resulting from the mesh discretization.

ISSN:0363-9061    

DOI:10.1002/nag.1610171103

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

摘要:

AbstractA mathematical framework for the description of localized deformation, as outlined in Reference 14, is reviewed. The formulation is derived by estimating the average mechanical properties of a medium intercepted by a shear band. The mechanical response of the homogenized system depends on the properties of the constituents and the respective volume fractions, it remains invariant however with respect to the thickness of the shear band. The implementation of the framework in the context of finite element analysis is discussed. Numerical examples, pertaining to some geotechnical problems, are provided.

ISSN:0363-9061    

DOI:10.1002/nag.1610171104

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

摘要:

AbstractA semi‐analytical solution procedure is developed to predict damage evolution at the interface between two dissimilar geologic materials. The procedure consists of an analytical field solution within each finite element, and a numerical scheme for simulating structural responses. For static problems, an incrementaliterative solution strategy is constructed through the use of an initial elasticity stiffness matrix, and an evolving‐localization constraint in terms of a suitable measure of damage at the most severely damaged element. For simplicity, one‐dimensional problems are considered to illustrate the features of the proposed procedure, and future research is discussed based on the preliminary results obt

ISSN:0363-9061    

DOI:10.1002/nag.1610171105

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

ISSN:0363-9061    

DOI:10.1002/nag.1610171106

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY

ISSN:0363-9061    

DOI:10.1002/nag.1610171107

出版商:John Wiley&Sons, Ltd    

年代:1993

数据来源: WILEY