Shape optimization of materially non-linear bodies in contact
Jaroslav Haslinger; Raino Mäkinen
Applications of Mathematics (1997)
- Volume: 42, Issue: 3, page 171-193
- ISSN: 0862-7940
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topHaslinger, Jaroslav, and Mäkinen, Raino. "Shape optimization of materially non-linear bodies in contact." Applications of Mathematics 42.3 (1997): 171-193. <http://eudml.org/doc/32975>.
@article{Haslinger1997,
abstract = {Optimal shape design problem for a deformable body in contact with a rigid foundation is studied. The body is made from material obeying a nonlinear Hooke’s law. We study the existence of an optimal shape as well as its approximation with the finite element method. Practical realization with nonlinear programming is discussed. A numerical example is included.},
author = {Haslinger, Jaroslav, Mäkinen, Raino},
journal = {Applications of Mathematics},
keywords = {shape optimization; sensitivity analysis; stress-strain relations; contact; shape optimization; sensitivity analysis; stress-strain relations; contact},
language = {eng},
number = {3},
pages = {171-193},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Shape optimization of materially non-linear bodies in contact},
url = {http://eudml.org/doc/32975},
volume = {42},
year = {1997},
}
TY - JOUR
AU - Haslinger, Jaroslav
AU - Mäkinen, Raino
TI - Shape optimization of materially non-linear bodies in contact
JO - Applications of Mathematics
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 3
SP - 171
EP - 193
AB - Optimal shape design problem for a deformable body in contact with a rigid foundation is studied. The body is made from material obeying a nonlinear Hooke’s law. We study the existence of an optimal shape as well as its approximation with the finite element method. Practical realization with nonlinear programming is discussed. A numerical example is included.
LA - eng
KW - shape optimization; sensitivity analysis; stress-strain relations; contact; shape optimization; sensitivity analysis; stress-strain relations; contact
UR - http://eudml.org/doc/32975
ER -
References
top- 10.1007/BF01447854, Appl. Math. & Optim. 2 (1975), 130–169. (1975) MR0443372DOI10.1007/BF01447854
- 10.1016/0022-247X(75)90091-8, J. Math. Anal. Appl. 52 (1975), 189–289. (1975) Zbl0317.49005MR0385666DOI10.1016/0022-247X(75)90091-8
- 10.1007/BF01743581, Struct. Optimiz. 5 (1993), 213–216. (1993) DOI10.1007/BF01743581
- 10.1007/BF01742734, Struct. Optimiz. 4 (1992), 133–141. (1992) DOI10.1007/BF01742734
- Finite Element Approximation for Optimal Shape, Material and Topology Design, Chichester: John Wiley & Sons, 1996. (1996) MR1419500
- Shape optimization of an elastic body in contact based on penalization of the state, Apl. Mat. 31 (1986), 54–77. (1986) MR0836802
- Inequalities of Korn’s type uniform with respect to a class of domains, Apl. Mat. 34 (1989), 105–112. (1989) MR0990298
- The NAG Fortran Library, Mark 16, (1993), Oxford: The Numerical Algorithms Group Limited. (1993)
- Mathematical Theory of Elastic and Elasto-Plastic Bodies: an Introduction, Amsterdam: Elsevier, 1981. (1981) MR0600655
- Solution of Signorini’s contact problem in the deformation theory of plasticity by secant modules method, Apl. Mat. 28 (1983), 199–214. (1983) MR0701739
- Solution of Variational Inequalities in Mechanics, Applied Mathematical Sciences 66, Springer-Verlag, 1988. (1988) MR0952855
- Introduction to Shape Optimization: Shape Sensitivity Analysis, Berlin: Springer Verlag, 1992. (1992) MR1215733
- Variational Methods in Elasticity and Plasticity (second edition), Oxford: Pergamon Press, 1974. (1974) MR0391680
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