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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 818Analysis of Stress in Half-Space Using Jacobian of...

Analysis of Stress in Half-Space Using Jacobian of Transformation and Gauss Numerical Integration

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Abstract:

Stress strain analysis of elastic halfspace by means of Gauss numerical integration and Jacobean of transformation is presented. The arbitrary shape and general course of the loaded area in nodal points is allowed by use of 4-and 8-node isoparametric elements, numerical integration and Jacobean transformation. Results of numerical examples are compared with other solutions.

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Nanotechnology and Advanced Materials II

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Periodical:

Advanced Materials Research (Volume 818)

Pages:

178-186

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.818.178

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Online since:

September 2013

Authors:

Radim Čajka

Keywords:

Finite Element Method (FEM), Gauss Numerical Integration, General Contact Element, Linear Elastic Half-Space, Soil-Structure Interaction (SSI)

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] ČSN 73 1001 Zakládání staveb. Základová půda pod plošnými základy. Foundation of structures. Subsoil under shallow foundations. (8/1988), Z1 (9/2009), zrušena (04/2010).

[2] ČSN EN 1992-1-1 (73 1201) Eurokód 2: Navrhování betonových konstrukcí - Část 1-1: Obecná pravidla a pravidla pro pozemní stavby. Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings, ČNI (11/2006).

[3] ČSN EN 1997-1 (73 1000) Eurokód 7: Navrhování geotechnických konstrukcí - Část 1: Obecná pravidla. Eurocode 7: Geotechnical design - Part 1: General rules, ČNI (9/2006).

[4] S. Ahmad, B.M. Irons, O.C. Zienkiewicz: Analysis of Thick and Thin Shell Structures by Curved Finite Elements. International Journal for numerical Methods in Engineering, Vol. 2, No. 3, pp.419-451, (1970).

DOI: 10.1002/nme.1620020310

[5] T. Brzobohaty, Z. Dostal, T. Kozubek, et al.: Cholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structure. International Journal For Numerical Methods in Engineering, Vol. 88, Issue 5, pp.493-509.

DOI: 10.1002/nme.3187

[6] R. Cajka: Stress solution in elastic halfspace by means of isoparametric elements (in Czech). Transactions of the VSB - Technical University of Ostrava, Construction Series, Volume I, Number 1/2001, VSB - TU Ostrava, ISBN 80-7078-929-8, ISSN 1213-1962, (2001).

DOI: 10.17973/mmsj.2022_10_2022122

[7] R. Cajka: Soil – structure interaction according to European standards (in Czech). Transactions of the VSB - Technical University of Ostrava, Construction Series, Volume II, Number 2/2002, VSB - TU Ostrava, ISBN 80-248-0397-6, ISSN 1213-1962, (2002).

DOI: 10.17973/mmsj.2022_10_2022122

[8] R. Cajka: Numerical Analysis of Contact Pressure under Shallow Foundation. International Symposium on Shallow Foundations FONDSUP 2003, 5. -7. November 2003, Paris, France, ISBN 2-7208-0355-3, (2003).

[9] R. Cajka: Soil – structure interaction in case of exceptional mining and flood actions, COST 12 – Final Conference Proceedings, 20th – 22nd January 2005, University of Innsbruck, Austria, ISBN 04 1536 609 7, (2005).

DOI: 10.1201/9780203970843.ch41

[10] R. Cajka, P. Manasek (2005). Building Structures in Danger of Flooding. IABSE Conference New Delhi, India, Role of Structural Engineers towards Reduction of Poverty. New Delhi, India, pp.551-558, ISBN 978-3-85748-111-6, WOS: 000245746100072.

DOI: 10.2749/222137805796272296

[11] R. Cajka, P. Manasek: Physical and Finite Element Shear Load Response Modelling of Viscoelasticity Materials", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Eighth International Conference on Computational Structures Technology, Civil-Comp Press, Stirlingshire, UK, Paper 240, doi: 10. 4203/ccp. 83. 240, (2006).

DOI: 10.4203/ccp.83.240

[12] R. Cajka, P. Manasek: Finite Element Analysis of a Structure with a Sliding Joint Affected by Deformation Loading", in B.H.V. Topping, (Editor), "Proceedings of the Eleventh International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press, Stirlingshire, UK, Paper 18, doi: 10. 4203/ccp. 86. 18, (2007).

DOI: 10.4203/ccp.86.18

[13] R. Cajka, D. Sekanina: Angular Displacement of a Normal in the Foundation-Subsoil Contact Area", in B.H.V. Topping, (Editor), "Proceedings of the Eleventh International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press, Stirlingshire, UK, Paper 19, doi: 10. 4203/ccp. 86. 19, (2007).

DOI: 10.4203/ccp.86.19

[14] R. Cajka, M. Janulikova, P. Mateckova, M. Stara: Modelling of Foundation Structures with Slide Joints of Temperature Dependant Characteristics", in B.H.V. Topping, Y. Tsompanakis, (Editors), "Proceedings of the Thirteenth International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press, Stirlingshire, UK, Paper 208, doi: 10. 4203/ccp. 96. 208, (2011).

DOI: 10.4203/ccp.96.208

[15] R. Cajka, V. Krivy, D. Sekanina: Design and Development of a Testing Device for Experimental Measurements of Foundation Slabs on the Subsoil. Transactions of the VSB - Technical University of Ostrava, Construction Series, Volume XI, Number 1/2011, VSB - TU Ostrava, ISSN 1804-4824 (Online). doi: 10. 2478/v10160-011-0002-2, (2011).

DOI: 10.2478/v10160-011-0002-2

[16] R. Cajka: Determination of Friction Parameters for Soil – Structure Interaction Tasks. Recent Researches in Environmental & Geological Sciences. Energy, Environmental and Structural Engineering Series No. 4, pp.435-440. Proceedings of the 7th WSEAS International Conference on Continuum Mechanics (CM ´12). Kos Island, Greece, July 14-17, 2012 ISSN 2227-4359, ISBN 978-1-61804-110-4, (2012).

[17] P. Davis, P. Rabinowitz: Abscissas and Weights for Gaussian Quadratures of High Order. Journal of Research of the National Bureau of Standards, Vol. 56, No. 1, January 1956, pp.35-37 (1956).

DOI: 10.6028/jres.056.005

[18] Z. Dostal, T. Kozubek, A. Markopoulos, et al.: A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction. Computer Methods in Applied Mechanics and Engineering. Vol. 205, SI, pp.110-120.

DOI: 10.1016/j.cma.2011.02.015

[19] V. A. Florin: Fundamentals of Soil Mechanics, Volume I (in Russian). Gosstroyizdat, Moscow, Leningrad, (1959).

[20] P. Hradil, Z. Kalab, J. Knejzlik, R. Korinek, V. Salajka, V. Kanicky: Response of a Panel Building to Mining Induced Seismicity in Karvina Area (Czech Republic). Acta Montanistica Slovaca, Vol. 14, No. 2, pp.143-151, (2009).

[21] Z. Kalab, M. Lednicka: Foundation conditions of buildings in undermined areas: An example of evaluation. Acta Geophysica, 60 (2), pp.399-409, (2012).

DOI: 10.2478/s11600-011-0071-8

[22] P. Konecky, J. Brozovsky, V, Krivy: Simulation Based Reliability Assessment Method using Parallel Computing", in B.H.V. Topping, P. Iványi, (Editors), "Proceedings of the First International Conference on Parallel, Distributed and Grid Computing for Engineering, Civil-Comp Press, Stirlingshire, UK, Paper 38, doi: 10. 4203/ccp. 90. 38, (2009).

DOI: 10.4203/ccp.90.38

[23] P. Konecky, J. Brozovsky, V, Krivy: Towards Parallel Computing using the Simulation-based Reliability Assessment Method. In Proceedings of the First International Conference on Parallel, Distributed and Grid Computing for Engineering. Civil Comp Press, Pécs, Hungary, ISBN 978-1-905088-29-4. WOS: 000271452700038, (2010).

DOI: 10.4203/ccp.90.38

[24] J. Kralik, N. Jendzelovsky: Contact problem of reinforced-concrete girder and nonlinear Winkler foundation. International Conference Geomechanics 93, Strata Mechanics/Numerical Methods/Water Jet Cutting/Mechanical Rock Disintegration, Pages 233-236, Ostrava, Czech Republic, Sep 28-30, (1993).

DOI: 10.1016/0148-9062(95)94704-3

[25] P. Kuklik: Preconsolidation, structural strength of soil and its effect on subsoil upper structure interaction. Engineering Structures, 33 (4), pp.1195-1204. doi: 10. 1016/j. engstruct. 2010. 12. 041.

DOI: 10.1016/j.engstruct.2010.12.041

[26] M. Pinka, M. Stolarik, R. Fojtik, T. Petrik: Experimental Seismic Measurement on the Testing Construction and the Analyze. Transactions of the VSB - Technical University of Ostrava, Construction Series, Volume XII, Number 1/2012, VSB - TU Ostrava, ISSN 1804-4824 (Online), doi: 10. 2478/v10160-012-0006-6, (2012).

DOI: 10.2478/v10160-012-0006-6

[27] H. G. Poulos, E. H. Davis: Elastic Solutions for Soil and Rock Mechanics. John Wiley & Sons, Inc., New York, (1974).

[28] D. Sekanina, R. Cajka: Interaction between Prestressed Floor and Subsoil". (in Czech). Transactions of the VSB - Technical University of Ostrava, Construction Series, Volume IX, Number 1/2009, pp.17-24, Ostrava, VSB – TU Ostrava, ISBN 978-80-248-2105-4, (2008).

DOI: 10.17973/mmsj.2022_10_2022122

[29] L. T. Stavridis: Prestressed Foundation Beams on Elastic Layered Soil Geotechnical and Geological Engineering, 29 (4), pp.431-442, (2011).

DOI: 10.1007/s10706-010-9388-3

[30] O. Sucharda, J. Brozovsky: Approach to the Assessment of Concrete Structures based on Non-Linear Elasto-Plastic Analysis", in B.H.V. Topping, L.F. Costa Neves, R.C. Barros, (Editors), "Proceedings of the Twelfth International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press, Stirlingshire, UK, Paper 121, doi: 10. 4203/ccp. 91. 121, (2009).

DOI: 10.4203/ccp.91.121

[31] P. Janas, M. Krejsa and V. Krejsa: Using the Direct Determined Fully Probabilistic Method (DDFPM) for determination of failure. In: Proceedings of European Safety and Reliability Conference (ESREL 2009): Reliability, Risk and Safety: Theory and Applications, Vols 1-3, Prague, Czech Republic, 2009. Edited by Briš, Guedes Soares & Martorell. London: Taylor & Francis Group, pp.1467-1474 (8 p). ISBN 978-0-415-55509-8. WOS: 000281188500203, (2010).

DOI: 10.1201/9780203859759.ch203

[32] M. Sejnoha, J. Sejnoha, M. Kalouskova and J. Zeman: Stochastic analysis of failure of earth structures, Probabilistic Engineering Mechanics, Vol. 22, Issue 2, pp.206-218 (13 p), doi: 10. 1016/j. probengmech. 2006. 11. 003, ISSN 0266-8920, (2007).

DOI: 10.1016/j.probengmech.2006.11.003