Contact between elastic bodies. III. Dual finite element analysis
Applications of Mathematics, Tome 26 (1981) no. 5, pp. 321-344.
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The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an $L2$-error estimate is proven provided the exact solution is regular enough.
DOI :
10.21136/AM.1981.103923
Classification :
49A29, 49S05, 65N15, 65N30, 73K25, 73T05, 74A55, 74M15, 74S05, 74S30
Mots-clés : dual finite element analysis; unilateral contact; elastic bodies; apriori bounded contact zone; terms of stresses; principle of complementary energy; approximations; self-equilibriated triangular block-elements; $L2$- error estimate
Mots-clés : dual finite element analysis; unilateral contact; elastic bodies; apriori bounded contact zone; terms of stresses; principle of complementary energy; approximations; self-equilibriated triangular block-elements; $L2$- error estimate
@article{10_21136_AM_1981_103923, author = {Haslinger, Jaroslav and Hlav\'a\v{c}ek, Ivan}, title = {Contact between elastic bodies. {III.} {Dual} finite element analysis}, journal = {Applications of Mathematics}, pages = {321--344}, publisher = {mathdoc}, volume = {26}, number = {5}, year = {1981}, doi = {10.21136/AM.1981.103923}, mrnumber = {0631752}, zbl = {0513.73088}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103923/} }
TY - JOUR AU - Haslinger, Jaroslav AU - Hlaváček, Ivan TI - Contact between elastic bodies. III. Dual finite element analysis JO - Applications of Mathematics PY - 1981 SP - 321 EP - 344 VL - 26 IS - 5 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103923/ DO - 10.21136/AM.1981.103923 LA - en ID - 10_21136_AM_1981_103923 ER -
%0 Journal Article %A Haslinger, Jaroslav %A Hlaváček, Ivan %T Contact between elastic bodies. III. Dual finite element analysis %J Applications of Mathematics %D 1981 %P 321-344 %V 26 %N 5 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103923/ %R 10.21136/AM.1981.103923 %G en %F 10_21136_AM_1981_103923
Haslinger, Jaroslav; Hlaváček, Ivan. Contact between elastic bodies. III. Dual finite element analysis. Applications of Mathematics, Tome 26 (1981) no. 5, pp. 321-344. doi : 10.21136/AM.1981.103923. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103923/
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