A new finite element formulation of shock-induced hull cavitation
(1995) In Computer Methods in Applied Mechanics and Engineering 120(1-2). p.33-44- Abstract
- A new formulation for non-linear, elastic wave propagation, based on the pressure and density, is introduced. The formulation accounts for a non-linear relation between speed of sound and density. The pressure and density are interpolated by identical shape functions between the nodes. The equation of state is introduced in the discretized system, hence the non-linearity is enforced point-wise. This procedure concentrates on proper interpolation of the balance equations by relaxing the non-linear constitutive relation between the nodes. A standard finite element procedure focuses on the constitutive equation and thereby produces a less consistent representation of the balance equation. In addition, the formulation accounts for... (More)
- A new formulation for non-linear, elastic wave propagation, based on the pressure and density, is introduced. The formulation accounts for a non-linear relation between speed of sound and density. The pressure and density are interpolated by identical shape functions between the nodes. The equation of state is introduced in the discretized system, hence the non-linearity is enforced point-wise. This procedure concentrates on proper interpolation of the balance equations by relaxing the non-linear constitutive relation between the nodes. A standard finite element procedure focuses on the constitutive equation and thereby produces a less consistent representation of the balance equation. In addition, the formulation accounts for fluid-structure interaction. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/928507
- author
- Sandberg, Göran LU
- organization
- publishing date
- 1995
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Computer Methods in Applied Mechanics and Engineering
- volume
- 120
- issue
- 1-2
- pages
- 33 - 44
- publisher
- Elsevier
- external identifiers
-
- scopus:0028993076
- ISSN
- 0045-7825
- DOI
- 10.1016/0045-7825(94)00050-W
- language
- English
- LU publication?
- yes
- id
- c0c5ef83-ecb5-4e1e-9491-0712f1bd2a87 (old id 928507)
- date added to LUP
- 2016-04-04 14:30:22
- date last changed
- 2021-01-03 04:24:20
@article{c0c5ef83-ecb5-4e1e-9491-0712f1bd2a87, abstract = {{A new formulation for non-linear, elastic wave propagation, based on the pressure and density, is introduced. The formulation accounts for a non-linear relation between speed of sound and density. The pressure and density are interpolated by identical shape functions between the nodes. The equation of state is introduced in the discretized system, hence the non-linearity is enforced point-wise. This procedure concentrates on proper interpolation of the balance equations by relaxing the non-linear constitutive relation between the nodes. A standard finite element procedure focuses on the constitutive equation and thereby produces a less consistent representation of the balance equation. In addition, the formulation accounts for fluid-structure interaction.}}, author = {{Sandberg, Göran}}, issn = {{0045-7825}}, language = {{eng}}, number = {{1-2}}, pages = {{33--44}}, publisher = {{Elsevier}}, series = {{Computer Methods in Applied Mechanics and Engineering}}, title = {{A new finite element formulation of shock-induced hull cavitation}}, url = {{http://dx.doi.org/10.1016/0045-7825(94)00050-W}}, doi = {{10.1016/0045-7825(94)00050-W}}, volume = {{120}}, year = {{1995}}, }