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A new finite element formulation of shock-induced hull cavitation

Sandberg, Göran LU (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)
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author
organization
publishing date
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
2008-01-26 10:04:12
date last changed
2016-10-13 05:02:31
@misc{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    = {ARRAY(0x91a9e10)},
  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},
  volume       = {120},
  year         = {1995},
}