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https://hdl.handle.net/2440/60506
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Type: | Journal article |
Title: | A higher gradient formulation and meshfree-based computations for elastic rock |
Author: | Sansour, Carlo Skatulla, Sebastian |
Citation: | Geomechanics and Geoengineering, 2007; 2(1):3-15 |
Publisher: | Taylor & Francis Ltd. |
Issue Date: | 2007 |
ISSN: | 1748-6025 |
School/Discipline: | School of Mechanical Engineering |
Statement of Responsibility: | C. Sansour and S. Skatulla |
Abstract: | In this work a non-classical continuum is derived from a unified formulation based on the generalized deformation field. This approach involves new strain measures which allow for the formulation of a generalized variational principle. It is demonstrated how to model micro-structure related material behaviour by a continuum mechanical approach in a very straight forward way. As an illustration excavations in dry rock conglomerate with two different geometrical configuration are modelled with a meshfree method based on moving least squares (Lancaster and Salkauskas, 1981). Thereby, the resulting displacement and stress field using a classical Green strain tensor based formulation (Skatulla and Sansour, 2005) is compared with the solution of the non-classical formulation. The use of meshfree methods in particular, proves to be advantageous, because it makes it possible to approximate the displacement field, and also its first derivatives. |
Keywords: | Generalized continua; Micro-continuum; Meshfree methods; Scale effects |
Rights: | © 2007 Informa plc |
DOI: | 10.1080/17486020601173185 |
Appears in Collections: | Mechanical Engineering publications |
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