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Finite Element Modelling, image, image, image, image, image - Coggle…
Finite Element Modelling
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Procedure
- Discretise the structure or continuum into finite elements
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- Specify the approximation equation
- Determine the shape functions for each element
- Formulate the properties of each element
- Determine stiffness matrices and equivalent load vectors for all elements
- Assemble elements to obtain the finite element model of the structure or continuum
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- Apply boundary conditions
- Solve simultaneous linear algebraic equations
- Calculate element strains and compute stress
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Some applications
Mechanical design
Nuclear engineering
Soil mechaincs
Heat conduction
Aircraft structures
Civil engineering
Hydrodynamics
Advantages of FEM
- Model complex shaped bodies quite easily
- Handle several load conditions without difficulty
- Handle different kinds of boundary conditions
- Model bodies composed of several different materials
- Discretise the bodies
- Vary the size of the elements to make it possible to use small elements where necessary
- Include dynamic effects
- Handle non-linear begaviour
- Handle several types of flow problems
- Handle time-dependent and time-independent heat transfer problems
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