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Submitted by:
PRIYANK GABA
1209383
ME B
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Solutions Using Either Strength of Materials or Theory
ofElasticity Are Normally Accomplished for Regions and Loadings
With Relatively Simple Geometry,
Many Applications Involve Cases with Complex Shape,
BoundaryConditions and Material Behavior.
Therefore a Gap Exists Between What Is Needed in
Applications
and What Can Be Solved by Analytical Closed-form Methods
Need for Computational MethodsWHY FEA
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Dividing the body under study into a finite number ofpieces
(subdomains) called elements.
Through this discretization process, the method setsup an
algebraic system of equations for unknownnodal values which
approximate the continuous
solution.
Basic working procedure
FUNDAMENTAL CONCEPT
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BASIC ANALYSISFlow diagram representation of brief concept
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PHYSICAL INTERPRETATION
Continuous physical model is divided into finite pieces
called
elements
Laws nature are applied on the generic element
The results are then recombined to represent
the continuum.
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MATHEMATICAL INTERPRETATION
Differetional equation representing the
system is converted into a variational form solved by the linear
combination of a finite set
of trial functions.
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Steps followed are:
Discretization e.g. creating mesh of structure
Selection Displacements or Interpolation e.g. applyingloads and
forces acting on structure.
Defining material behavior choosing list of material fromlist of
available.
Applying Boundary Conditions applying fixtures
Solution obtaining plots.
In 3D software
GENERAL WORKING
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APPLICATIONSstress analysis Deflection
Stresses
Strains
Forces
Energies
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Heat transfer analys is
Temperature
Heat fluxes
Thermal gradients Heat flow from
convection faces
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Fluid analys is
Pressures Gas temperatures
Convection coefficient
Velocities
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Dynamic analysis
Frequencies
Deflection (modeshape)
Stresses Strains
Forces
Energies
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ADVANTAGES OF FEA1. Irregular geometries can be modeled
moreaccurately and easily.
2. Implementation of any type of boundaryconditions is very
easy.
3. With very little effort, heterogeneous andanisotropic
materials can be modeled.
4. Any type of loading can be handled.
5. The element sizes can be varied throughout the
model wherever it is necessary. We can use finemeshes.
