By Luís Ribeiro e Sousa, M.M. Fernandes, Eurípedes Vargas Jr., Robero Azevedo
Geotechnical works contain complicated geo-engineering concerns, that are reviewed during this quantity featuring the very most modern learn and perform in computational mechanics in geotechnical engineering. program of Computational Mechanics in Geotechnical Engineering V contains contributions on soil and rock excavations, underground constructions and floor reinforcement; and at the building of dams, embankments and rail tune. different papers think about the geomechanics of oil exploration and rock mechanics in mining; whereas environmental contributions contain groundwater administration. a variety of methodologies are mentioned: inversed methodologies, synthetic intelligence and computational structures, which spotlight destiny developments within the region of computational mechanics utilized to geotechnical difficulties. The publication can be of curiosity to researchers, teachers, scholars, software program builders, and sensible engineers around the box of geotechnics.
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Additional info for Applications of Computational Mechanics in Geotechnical Engineering V: Proceedings of the 5th International Workshop, Guimaraes, Portugal 1-4 April ... in Engineering, Water and Earth Sciences)
For the ith layer the relation between the (micro-)stress σ i and the (micro-)strains εi is given by the (micro)stiffness matrix Di and reads In order to establish the relationships between stresses and strains in a homogenized continuum, the following averaged quantities in an equivalent prism are defined: where V is the volume of the representative prism and j indicates all the components of the stress and strain tensors. Auxiliary stresses (t1 , t2 and t12 ) and auxiliary strains (e3 , e13 and e23 ) are introduced as a deviation measure of the ith layer stress/strain state from the averaged values.
However, for stratified soils and fractured rocks, a continuum assumption often leads to difficult parameters to define and over-simplified geometry to be realistic. In such cases, approaches that consider the micro-structure of the material can be adopted. In this paper, two of such approaches are detailed, namely limit analysis incorporating fractures and individual blocks, and elastoplastic homogenization of layered soils. 1 INTRODUCTION The present paper addresses the inelastic behavior of heterogeneous media, such as soils and rocks.
2005a. Three-dimensional limit analysis of rigid blocks assemblages. Part I: Torsion failure on frictional joints and limit analysis formulation. Int. J. Solids and Structures 42(18–19): 5140–5160. Orduña, A. B. 2005b. Three-dimensional limit analysis of rigid blocks assemblages. Part II: Load-path following solution procedure and validation. Int. J. Solids and Structures 42(18-19): 5161–5180. Ortiz, M. P. 1985. Accuracy and stability of integration algorithms for elastoplastic constitutive relations.