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Thermo Mechanical Analysis And Benchmarking With ANSYS-Finite Element Method and Physics-Presentation, Slides of Physics

Central University of KeralaPhysics

This presentation is for Physics subject project. It was task assigned by Prof. Adishree Yajnadhar at Central University of Kerala. It includes: Mathematical, Formulation, Thermal, Analysis, Stress, Flow, Chart, Code, Ritz, Method, Galerkin, Collocation

Typology: Slides

2011/2012

Uploaded on 07/17/2012

mmadhav
mmadhav 🇮🇳

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7/8/2012 1
PRESENTATION LAYOUT
•Objectives
•Introduction
•Procedure
•Mathematical formulation for thermal analysis
•Mathematical formulation for stress analysis
•Code specification
•Flow chart
•Different Cases
•Conclusions
•Recommendation for future work
•References
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Partial preview of the text

Download Thermo Mechanical Analysis And Benchmarking With ANSYS-Finite Element Method and Physics-Presentation and more Slides Physics in PDF only on Docsity!

7/8/2012 1

PRESENTATION LAYOUT

  • Objectives
  • Introduction
  • Procedure
  • Mathematical formulation for thermal analysis
  • Mathematical formulation for stress analysis
  • Code specification
  • Flow chart
  • Different Cases
  • Conclusions
  • Recommendation for future work
  • References docsity.com

7/8/2012 2

OBJECTIVES

  • To develop finite element based computer code for thermo-mechanical analysis
  • Benchmarking with ANSYS

7/8/2012 4

PROCEDURE

  • Discritization of the domain
  • Selection of the interpolation function
  • Derivation of the element equations
  • Assemblage of the element equations to form the global stiffness matrix
  • Application of boundary condition
  • Solve the system of equations
  • Solve for secondary quantites such as strain and stress

7/8/2012 5

Mathematical formulation for thermal analysis

  • Two dimensional heat equation

7/8/2012 7

Mathematical formulation for thermal analysis(contd.)

  • Where element stiffness matrix is
  • Influence matrix for internal heat generation

7/8/2012 8

Mathematical formulation for thermal analysis (contd.)

  • Influence matrix for boundary heat convection
  • Influence matrix for external heat flux on nodes
  • Influence matrix for ambient temperature

7/8/2012 10

MATHEMATICAL FORMULATION FOR STRESS

ANALYSIS

  • Applicable functional is
  • Where
  • column matrix of components of the displacement field

7/8/2012 11

MATHEMATICAL FORMULATION

FOR STRESS ANALYSIS (contd.)

  • Where

=matrix relating strains&displacement

=Body force components

=Boundary Traction component

7/8/2012 13

CODE SPECIFICATION

  • This computer code contain

four main subroutines

  • Subroutine INPUT
  • Subroutine THERMAL
  • Subroutine STRESS
  • Subroutine MATSOLVE

7/8/2012 14 Flow chart docsity.com

7/8/2012 16

DISTRIBUTION OF THE

TEMPERATURE IN THE FIN

7/8/2012 17

CONVECTION FROM A FIN(contd.)

Comparison of results with Temperature contour o ANSYS ANSYS

7/8/2012 19

A THIN PLATE WITH A DISTRIBUTED

LOAD (contd.)

7/8/2012 20

A THIN PLATE WITH A DISTRIBUTED

LOAD (contd.)