Solving Non-Linear Problems of the Finite over Elements by Newton Method
A. A. Petrakov, N. A. Petrakova, M. D. Panasiuk
Donbas National Academy of Civil Engineering and Architecture
Annotation: Given work suggests the new methods of solving non-linear problems of structural mechanics using the calculation model MFOE. These methods include: plastic state equations, based on hypotheses of the plastic flow theory, given in the closed analytical form, methods of solving non-linear equation system MFOE in the form of multi-steps Newton iterations. The results of approbation of engineering programme complex «PANAMA» on the example of soil mass calculation have been given. The variants of soil mass loading through absolutely flexible and absolutely rigid die have been considered. For absolutely rigid die loadings were done in the form of forced displacements. For absolutely flexible die variable loadings with full unloading and repeated loading have been applied. The comparison of settlements of absolutely flexible and absolutely rigid foundations has been carried out. The comparable results of calculations using EPC «PANAMA» and PC «Lira» have been represented.
Keywords: soil mass, the hypotheses of the plastic flow, settlements, loading path, flexible foundations.
Pages: 169-178.
Link for citation: Petrakov, A. A.; Petrakova, N. A.; Panasiuk, M. D. Solving Non-Linear Problems of the Finite over Elements by Newton Method. – Text : electronic. – In: Modern Industrial and Civil Construction. – 2017. – Vol. 13, N 3. – Р. 169-178. – URL: https://donnasa.ru/publish_house/journals/spgs/2017-3/05_petrakov_petrakova_panasiuk.pdf (date of access: 16.09.2024). (in Russian)
Vol. 13, N 3 (2017)Journal: Modern Industrial and Civil Construction
Publish house: Donbas National Academy of Civil Engineering and Architecture