University of Chemical University of Chemical Technology and MetallurgyTechnology and Metallurgy

Department of Material Science Department of Material Science and Engineeringand Engineering

FINITEELEMENT METHODFINITEELEMENT METHOD

By eng. Veselin Paunov

Prof. Veselin Iliev

Table of contentTable of content

Revile of the problemRevile of the problem

Creation of geometryCreation of geometry

Procedure of solutionProcedure of solution

ResultsResults

Answer of questionsAnswer of questions

Revile of the problemRevile of the problem

Assignment: Assignment: The beam with dimensions 140x20x50 cm is fixed and The beam with dimensions 140x20x50 cm is fixed and loaded as is shown in firg.1. The beam is isolated at boundaries and loaded as is shown in firg.1. The beam is isolated at boundaries and exchange heat at contacts with supported plates. The beam material is exchange heat at contacts with supported plates. The beam material is homogeneous linear elastic with Poisson’s ratio ν=0.27 and temperature-homogeneous linear elastic with Poisson’s ratio ν=0.27 and temperature-dependant module of elasticity (fig. 2). Determine the stress and strain dependant module of elasticity (fig. 2). Determine the stress and strain state in varies temperature-elasticity dependences.state in varies temperature-elasticity dependences.

Submit:Submit: 1. Geometrical model, including the mesh and the boundary conditions.1. Geometrical model, including the mesh and the boundary conditions. 2. The stress (von Mises) state for 2. The stress (von Mises) state for Material 2Material 2.. 3. The strain state for 3. The strain state for Material 3Material 3.. 4. Compare the flexure of the beam for the materials in fig. 2.4. Compare the flexure of the beam for the materials in fig. 2.

Answer the next questions:Answer the next questions: 1. What is the mechanical behavior peculiarity of the material and where it 1. What is the mechanical behavior peculiarity of the material and where it

is treated in the solution?is treated in the solution? 2. What element type was used?2. What element type was used? 3. What element options were used?3. What element options were used? 4. What real constants were used?4. What real constants were used? 5. How many nodes and elements were created?5. How many nodes and elements were created? 6. What is the % error for your solution?6. What is the % error for your solution?

Setting the preferenceSetting the preference Setting temperature unitsSetting temperature units Setting the elementSetting the element Creation of geometryCreation of geometry Setting material propertiesSetting material properties

Creation of the geometryCreation of the geometry

The used element is solid 5.The used element is solid 5.

Geometry creation.Geometry creation.

Setting material properties for every material.Setting material properties for every material.

For the task we have to apply thermal conductivity, Poisson's ratio v=0.27 and temperature-dependant module of elasticity.

Material 1

Material 2

Meshing of the model

Appling the loads

Solving of the problem material 1

Material 2

Material 3

Material 4

von Mises state for material 2

Total thermal strain state for material 3Total thermal strain state for material 3

Material 1

Material 2

Material 3

Material 4

Answers of the questions

1. What is the mechanical behavior peculiarity of the material and where it is treated in the solution? 2. What element type was used? 3. What element options were used? 4. What real constants were used? 5. How many nodes and elements were created?6. What is the % error for your solution?

1. It is material Poisson’s ratio ν=0.27 and temperature-dependant module of module of elasticityelasticity.

2. 1 element type is used- solid 5 3D coupled field solid.3. Thermal and structural field capability.4. No real constant ware used.5. 270 nodes and 140 elements ware used.