Plastics

PT3015: Finite Element Methods syllabus for Plastics 2021 regulation (Professional Elective-II)

Finite Element Methods detailed syllabus for Plastics Technology (Plastics) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the Plastics students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.

For Plastics Technology 5th Sem scheme and its subjects, do visit Plastics 5th Sem 2021 regulation scheme. For Professional Elective-II scheme and its subjects refer to Plastics Professional Elective-II syllabus scheme. The detailed syllabus of finite element methods is as follows.

Course Objectives:

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Unit I

INTRODUCTION TO FEM 9
Introduction to FEM, basic concepts, historical back ground, applications of FEM, general description, comparison of FEM with other methods, variational approach, Glerkin’s Methods. Coordinates, basic element shapes, interpolation function, Virtual energy principle, Rayleigh – Ritz method, properties of stiffness matrix, treatment of boundary conditions, solution of system of equations, shape functions and characteristics, Basic equations of elasticity, strain- displacement relations.

Unit II

1-D STRUCTURAL PROBLEMS 9
Axial bar element – stiffness matrix, load vector, temperature effects, Quadratic shape functions, and problems. Analysis of Trusses: Plane Trusses and Space Truss elements and problems Analysis of Beams: Hermite shape functions – stiffness matrix – Load vector – Problems.

Unit III

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Unit IV

SCALAR FIELD PROBLEMS 9
1-D Heat conduction-Slabs – fins – 2-D heat conduction problems – Introduction to Torsional problems.

Unit V

DYNAMIC ANALYSIS 9
Dynamic considerations, Dynamic equations – consistent mass matrix – Eigen Values, Eigen vector, natural frequencies – mode shapes – modal analysis. Error estimates and adaptive refinement: error norms and convergence rates – h-refinement with adaptivity – adaptive refinement

Course Outcomes:

At the end of the course, the student will be able to,

  • Apply finite element method to solve problems in solid mechanics heat transfer.
  • Formulate and solve problems in one dimensional structures including trusses, beams and frames.
  • Formulate FE characteristic equations for two dimensional elements and analyze plain stress, plain strain, axi-symmetric and plate bending problems. ANSYS, ABAQUS, NASTRAN, etc
  • Formulate and solve problems in three dimensional structures
  • Understand the consideration and conduct of dynamic analysis.

Text Books:

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Reference Books:

  1. An introduction to Finite Element Method / JN Reddy / Me Graw Hill
  2. The Finite Element Methods in Engineering / SS Rao / Pergamon.
  3. Finite Element Method and applications/R.D.Cook/WILEY publications
  4. Zienkiewicz, O.C. and Taylor, R.L., “The Finite Element Method”, Fourth Edition Fourth Edition, Volumes 1 & 2, McGraw Hill International Edition, Physics Services, 1991.

For detailed syllabus of all the other subjects of Plastics Technology 5th Sem, visit Plastics 5th Sem subject syllabuses for 2021 regulation.

For all Plastics Technology results, visit Anna University Plastics all semester results direct link.

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