finite element method literature review

1. Finite Element Method Literature review
By- Devang Gajera
(140280743003)
Priya Jethwa
(140280743012)

2. “Basic principles of finite element method and its applications in
orthodontics”
Author : Prasad Konda.1, Tarannum SA.
Publication: Journal of pharmaceutical and biomedical sciences
Keywords: Finite element analysis, Orthodontics
Literature :
Finite element method (FEM) or Finite Element Analysis (FEA) is
a contemporary research tool for an orthodontist. FEM is an
engineering method of calculating stresses and strains in all
materials including living tissues. In orthodontics
biomechanics is commonly used in describing the reactions of
dental and facial structures to orthodontic forces.

3. The study of orthodontic biomechanics requires the understanding of
nature of stress and strain induced by orthodontic forces .This article
comprehensively reviews the literature on FEM, the methodology
involved in it and its application in various specialties of dentistry.
Conclusion:
FEM is powerful analytic technique for calculating stresses and strains
within mechanically loaded structures.

4. “A FINITE ELEMENT METHOD FOR CRACK GROWTH WITHOUT
REMESHING”
Author : NICOLAS MO , JOHN DOLBOW AND TED BELYTSCHKO
Publication: International journal for numerical methods in
engineering
Keywords: Fnite elements; fracture
Literature : An improvement of a new technique for modelling
cracks in the finite element framework is presented. A
standard displacement-based approximation is enriched near
a crack by incorporating both discontinuous fields and the
near tip asymptotic fields through a partition of unity method

5. A methodology that constructs the enriched approximation from the
interaction of the crack geometry with the mesh is developed. This
technique allows the entire crack to be represented independently
of the mesh, and so remeshing is not necessary to model crack
growth. Numerical experiments are provided to demonstrate the
utility and robustness of the proposed technique..
Conclusion:
A method has been developed for modelling crack growth by
enrichment that includes the asymptotic near tip field and a Haar
function. The Haar function is used away from the crack tip. Its use
represents the main improvement of this technique over that
presented in [3], where a mapping of the discontinuous near-tip
field was employed for curved cracks. The Haar function provides a
much more elegant and straightforward procedure, and is readily
generalized to other problems such as those involving nonlinear
materials and three dimensions.

6. Thank You