Variational Principles for Dynamics of Linear Elastic Fluid-Saturated Soils.

Abstract

Variational Principles for dynamics of the fluid-saturated porous media are derived assuming that soil is linear elastic and deformation is small. Starting with basic mathematical concepts related to the inverse problem of calculus of variation and following the methodology proposed by Sandhu for coupled problems, general variatonal principles for the problem are developed. Complementary as well as direct formulation are discussed with reference to finite element approximation space and the excitation are allowed for. Extensions of the variational principles to relax smoothness requirements on certain field variables are introduced along with some specializations. Keywords: Coupled problems; Elasticity; Fluid-saturated solids; Seepage; Soil dynamics.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1985
Accession Number
ADA175020

Entities

People

  • Ranbir S. Sandhu
  • S. J. Hong

Organizations

  • Ohio State University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Boundary Value Problems
  • Civil Engineering
  • Classification
  • Elastic Properties
  • Engineering
  • Equations
  • Finite Element Analysis
  • Integrals
  • Plastic Explosives
  • Pore Pressure
  • Saturated Soils
  • Scientific Research
  • Security
  • Variational Principles
  • Vector Spaces

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.
  • Structural Health Monitoring of Composite Structures.

Technology Areas

  • Space