MODIFIED COUPLE STRESS-BASED THIRD-ORDER THEORY FOR NONLINEAR ANALYSIS OF FUNCTIONALLY GRADED BEAMS

Authors

  • ARCHANA ARBIND TEXAS A&M UNIVERSITY
  • J.N. REDDY TEXAS A&M UNIVERSITY
  • ARUN SRINIVASA TEXAS A&M UNIVERSTY

Keywords:

MODIFIED COUPLE STRESS THEORY, GENERAL THIRD-ORDER BEAM THEORY, NONLINEAR FINITE ELEMENT MODEL

Abstract

A MICROSTRUCTURE-DEPENDENT NONLINEAR THIRD-ORDER BEAM THEORY WHICH ACCOUNTS FOR THROUGH-THICKNESS POWER-LAW VARIATION OF A TWO-CONSTITUENT MATERIAL IS DEVELOPED USING HAMILTON'S PRINCIPLE. THE FORMULATION IS BASED ON A MODIFIED COUPLE STRESS THEORY, POWER-LAW VARIATION OF THE MATERIAL, AND THE VON KARMAN NONLINEAR STRAINS. THEMODIFIED COUPLE STRESS THEORY CONTAINS A MATERIAL LENGTH SCALE PARAMETER THAT CAN CAPTURE THE SIZE EFFECT IN A FUNCTIONALLY GRADED MATERIAL BEAM. THEINFLUENCE OF THE MATERIAL LENGTH SCALE PARAMETER ON LINEAR BENDING IS INVESTIGATED. THE FINITE ELEMENT MODELS ARE ALSO DEVELOPED TO DETERMINE THE EFFECT OF THE GEOMETRIC NONLINEARITY AND MICROSTRUCTURE-DEPENDENT CONSTITUTIVE RELATIONS ON LINEAR AND NONLINEAR RESPONSE.

Author Biographies

ARCHANA ARBIND, TEXAS A&M UNIVERSITY

J.N. REDDY, TEXAS A&M UNIVERSITY

ARUN SRINIVASA, TEXAS A&M UNIVERSTY

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Published

2013-09-03

Issue

Vol. 11 No. 3 (2014)

Section

Articles

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