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Elements of Theory of Elasticity (with solved examples) Introduction: Applications of the finite element method include elasticity problems also. Theory of elasticity deals with the stress and displacements in elastic solids generated by external forces. Some Important Aspects in theory of elasticity: Stress Components There are two types of stresses acting on each face of … Read more
For the convergence of solution in finite element analysis, the assumed displacement field should be isotropic . This is achieved if the components of the displacement field are complete polynomials. This is achieved by using PASCAL’s TRIANGLE. It is a technique of including the appropriate number of terms in the displacement model. It also gives … Read more
Classical Rayleigh Ritz Method Introduction: Classical Rayleigh Ritz Method is named after Walther Ritz and Lord Rayleigh and is widely used. Classical Rayleigh Ritz Method is a method of finding displacements at various nodes based on the theorem of minimum potential energy. Departure from classical Rayleigh Ritz Method leads to FEM. The two departures are: … Read more
Principle of Virtual Work and Minimum Potential Energy (P.E.) Introduction: The Total Potential Energy is nothing but the energy due to Strain Energy (internal work done) and Work potential of a force (external work done). Theorem of P.E.: Of all the displacements satisfying given Boundary conditions and Equilibrium conditions, the actual displacement is … Read more
FINITE ELEMENT METHOD (FEM) Introduction: Finite Element Method (FEM) is nothing but a numerical technique to get the approximate solution to the boundary value problems consisting of a partial differential equation and the boundary conditions. The Finite element Method converts these typical equations into a set of algebraic equations which are easy to solve. Basic … Read more