FINITE ELEMENT MODEL BASED ON REFINED PLATE THEORIES FOR LAMINATED GLASS UNITS

Authors

  • ALENA ZEMANOVÁ DEPARTMENT OF MECHANICS FACULTY OF CIVIL ENGINEERING CZECH TECHNICAL UNIVERSITY IN PRAGUE
  • JAN ZEMAN DEPARTMENT OF MECHANICS FACULTY OF CIVIL ENGINEERING CZECH TECHNICAL UNIVERSITY IN PRAGUE
  • MICHAL Å EJNOHA DEPARTMENT OF MECHANICS FACULTY OF CIVIL ENGINEERING CZECH TECHNICAL UNIVERSITY IN PRAGUE

Keywords:

LAMINATED GLASS, FINITE ELEMENT METHOD, REFINED PLATE THEORY, LAGRANGE MULTIPLIERS, REISSNER-MINDLIN PLATE THEORY, VON KáRMáN ASSUMPTIONS

Abstract

LAMINATED GLASS UNITS EXHIBIT COMPLEX RESPONSE AS A RESULT OF DIFFERENT MECHANICAL BEHAVIOR AND PROPERTIES OF GLASS AND POLYMER FOIL. WE AIM TO DEVELOP A FINITE ELEMENT MODEL FOR ELASTIC LAMINATED GLASS PLATES BASED ON THE REFINED PLATE THEORY BY MAU. FOR A GEOMETRICALLY NONLINEAR DESCRIPTION OF THE BEHAVIOR OF UNITS, EACH LAYER BEHAVES ACCORDING TO THE REISSNER-MINDLIN KINEMATICS, COMPLEMENTED WITH MEMBRANE EFFECTS AND THE VON KáRMáN ASSUMPTIONS. NODAL LAGRANGE MULTIPLIERS ENFORCE THE COMPATIBILITY OF INDEPENDENT LAYERS IN THIS APPROACH. WE HAVE DERIVED THE DISCRETIZED MODEL BY THE ENERGY-MINIMIZATION ARGUMENTS, ASSUMING THAT THE UNKNOWN FIELDS ARE APPROXIMATED BY BI-LINEAR FUNCTIONS AT THE ELEMENT LEVEL, AND SOLVED THE RESULTING SYSTEM BY THE NEWTON METHOD WITH CONSISTENT LINEARIZATION. WE HAVE DEMONSTRATED THROUGH VERIFICATION AND VALIDATION EXAMPLES THAT THE PROPOSED FORMULATION IS RELIABLE AND ACCURATELY REPRODUCES THE BEHAVIOR OF LAMINATED GLASS UNITS. THIS STUDY REPRESENTS A FIRST STEP TO THE DEVELOPMENT OF A COMPREHENSIVE, MECHANICS-BASED MODEL FOR LAMINATED GLASS SYSTEMS THAT IS SUITABLE FOR IMPLEMENTATION IN COMMON ENGINEERING FINITE ELEMENT SOLVERS.

Published

2015-04-10

Issue

Section

Articles