I Semester M.E. (Civil) Degree Examination, March 2013 Geotechnical Engineering 2K8GT101 : FINITE ELEMENTS IN GEOTECHNICAL ENGINEERING Time : 3 Hours
Max. Marks : 100
Instructions : 1) Answer any five full questions. 2) Missing data if any may be suitably assumed. 1. a) Explain the concept of FEM briefly and outline the procedure.
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b) Discuss the advantages and disadvantages of FEM over i) Classical method ii) Finite difference method.
10
2. a) Explain the term ‘anisotropic’, orthotropic and isotropic as applied to material properties.
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b) Explain the terms ‘plane stress’ and plain strain problems. Give constitutive law for these cases. 10 c) State and explain generalised Hooke’s law.
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3. a) Explain undrained analysis.
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b) A clay soil is assumed to have an elastic soil skeleton having E′ = 30 MPa and μ ′ = 0.25. The soil is saturated. The equivalent pore fluid bulk modulus Kf is taken as 200 MPa. Determine the corresponding total stress parameters for undrained analysis i.e. E and μ . 10 c) Briefly explain incorporation of FE program for undrained analysis.
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4. a) Explain stress cancelling tractions for excavation boundary in i) Single stage ii) Multistage.
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b) Explain single lift in fills with neat sketches for major principle effective stresses and minor principle effective stresses. 10 P.T.O.
EJM – 091
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*EJM091*
5. a) Explain the following : i) Bilenear elastic model ii) K G model.
7. a) Explain the computation of velocities and flows.
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b) Explain the finite element discretization of seepage equations. 8. a) Explain the characteristics of rocks. b) Explain generalised plane strain analysis in rock mechanics. ————————
Introduction to Finite Elements in Engineering, 3rd Ed, T.R.Chandrupatla.pdf. Introduction to Finite Elements in Engineering, 3rd Ed, T.R.Chandrupatla.pdf. Open.
Jul 5, 2008 - illustrates that nonlinear dynamical systems with discontinuous solutions can be extremely sensitive to random initial conditions, see Figure 2. An amplification factor of 52 has been observed for the stan- dard deviation. In the paper,
of grid points adaptive isotropic finite elements [12,13] have been used. Further reduction of ...... The initial solid grain is a circle of. Fig. 15. Dendritic growth of ...
Institut d'Analyse et Calcul Scientifique, Ecole Polytechnique Fйdйrale de Lausanne, 1015 Lausanne, ..... degrees of freedom, the triangles may have large aspect ..... computation of solidification microstructures using dynamic data structures ...
An adaptive phase field model for the solidification of binary alloys in two space dimensions is .... c kÏsÏ + Ïl(1 â Ï). ( Ïv + (k â 1)ÏsÏvs. )) â div. (. D(Ï)âc + ËD(c, Ï)âÏ. ) = 0, (8) where we have set .... ena during solidif
