Syllabus

1. Basics of Finite Element Method
2. Different steps involved in the finite element method(FEM).
3. Function Evaluation Differential Equation with Initial and boundary value problem.
4. Partial differential equation.
5. Application in solid mechanics, fluid mechanics, and heat transfer and fluid flow.
6. Non-linear approaches.
7. Deformation behavior of materials under load.
8. Simulation of micro-crack accumulation and failure behavior in materials.
9. Thermo-mechanical property analysis of materials.



Experiment 1: Create the shape shown using Ansys workbench and extrude it to form a solid. Choose your own dimensions. Use the Sketching Trim option to help in the sketch development. Save it, and we’ll use it in a simulation problem later in the text. 2 Hours

Experiment 2: Use an extrusion to create the solid model shown below using an Ansys workbench. The dimensions are given in mm. 2 Hours

Experiment 3: The cross-section of the upper half of a flat-topped cylinder is shown below. The dimensions are in millimeters. Create a solid model of the cylinder using the Ansys workbench. 2 Hours

Experiment 4: Create the solid model shown below by using a sweep/revolve operation in the Ansys workbench. Choose your own dimensions. 2 Hours

Experiment 5: Create the solid model shown below using Ansys workbench and create a meshed geometry (automatic option) in Design Modeler. Identify the total number of nodes and elements. 2 Hours

Experiment 6: Determine the temperature distribution in a long steel cylinder with an inner radius 5 mm and an outer radius 10 mm. The interior surface of the cylinder is kept at 75°C, and heat is lost on the exterior by convection to a fluid whose temperature is 40°C. The convective heat transfer coefficient 588 W/m2-K and the thermal conductivity for steel is taken to be 50W/m-K. Assume the front and back surface is insulated in order to prevent any heat transfer in the direction along the length of the cylinder. 2 Hours

Experiment 7: Determine the stresses that are produced in a steel cylinder of 5 mm interior and 10 mm exterior radius by internal pressure of 2 MPa acting together with a temperature variation through the wall thickness. Given the internal surface temperature is 450°C and the external surface temperature is 40°C. 2 Hours

Experiment 8: Consider a composite pipe shown below. The pipe is composed of three pipes with different thermal conductivities (kA = 0.22 W/m·°C, kB = 0.16 W/m·°C, and kC = 0.25 W/m·°C), and radii (rA = 0.03 m, rB = 0.02 m, and rC = 0.01 m). A convective boundary condition is applied at the right surface: h1 = 10 W/m2·°C and T1 = 25°C, and fixed temperature at the left surface, T2 = 45°C. The external surface of the pipe is well insulated. Calculate the temperature at the interfaces and heat flow through the pipe using the finite element method. Given that LA = 0.05 m, LB = 0.075 m, and LC = 0.025 m. 2 Hours

Experiment 9: The circular fin shown below is used to manage the temperature of an electronic chip that generates heat. The heat transfer process is steady. Heat convection is applied along the entire external surfaces, h = 22 W/m2·°C and To = 25°C, while the bottom surface of the chip is well insulated, the top surface is at 300°C. Determine the total and directional heat flux. 2 Hours

A first-hand exposure to Ansys simulation tool for developing three dimensional solid geometry, mesh generation, assign boundary condition and problem-solving related to thermal or structural problems of materials.

Understanding how real-life complex engineering problems are solved by finite-element methods.

Develop a keen interest among students to critically think about how engineering problems encountered by industries can be solved by theoretical approaches.

Students will learn how to use Ansys for problem-solving related to a material's deformation behavior under load, heat loss, or generation during thermal treatment or how a material will behave under different constraints.

To be well versed with how solid objects behave under different constraints in the real world.

Gain practical knowledge on materials simulation & modeling using finite element method in solid mechanics & heat transfer.

Able to design and draw advanced ceramics products using state-of-the-art design modeler available with Ansys software.

Understand and implement the basic engineering knowledge and thermo-mechanical properties of materials learned throughout the academic years to solve engineering problems of materials under load.

J. N. Reddy, An Introduction to the Finite Element Method 3 Edition, Tata McGraw - Hill Education , 2005

S S Rao, The Finite Element Method in Engineering 5 Edition, Elsevier (2012)

R. D. Cook, Concepts and Applications of Finite Element Analysis, John Wiley, New York, 2004

C. S. Krishnamoorthy, Finite Element analysis-Theory and Programming, Tata McGraw Hill, 2008