Brief presentation of the subject and the numerical methods in the context of Geotechnical Engineering Reminder of the basics of the Finite Element Method Examples of application of the finite element method to problems of elasticity in 2 dimensions

Specific Objectives

Presentation about the subject. Remember the concepts of Finite Element Method in general. Illustrate the theory of finite element method with simple examples

Dedication

Concept constitutive law. Elastic model in 2D and 3D. Axisymmetric geometry. Transverse anisotropy. Hyperbolic model. Description of critical state models Description of other typical models in Geotechnics. The elastic - perfect plastic Mohr-Coulomb model. Hardening and softening. Visco-elastic and visco-plastic models. Examples of application of constitutive equations.

Specific Objectives

Role of constitutive equations in numerical analysis. Description of elastic model and its variants. Understanding the fundamental features of the critical state models and its ability to simulate the mechanical behavior of the soil. Understanding other families of constitutive models from the basic models of plasticity. Illustration theoretical aspects described in the subject

Dedication

General equations of Biot formulation. u-p approach and formulation of the finite element solution. Application of the u-p formulation to flow and consolidation problems. Application of the u-p formulation to soil dynamics problems. Application examples: subsidence of Venice, flow problems in earth dams, San Fernando dam in California.

Specific Objectives

Understand the concept of H-M coupled formulation of the problem and the particular case of the u-p formulation. Understanding a particular case of application of the u-p formulation. See the application of the u-p formulation to seismic engineering problems in the context of Geotechnics. Illustrating the u-p formulation in complex real problems

Dedication

Specific aspects of geotechnical problems: initial stresses, effective stresses and dissipation of water pressure. Specific aspects to be considered in problems of construction and excavation

Specific Objectives

Understanding some specific aspects of Geotechnical Engineering in the field of simulation of real problems by finite elements. Understand the specific aspects to be considered in geotechnical problems when solving via finite elements

Dedication

Illustration of the concepts explained in various problems

Specific Objectives

Understand the application of numerical methods in real cases of Geotechnical Engineering.

Dedication

Dedication