书目名称 | Spatial and Material Forces in Nonlinear Continuum Mechanics | 副标题 | A Dissipation-Consis | 编辑 | Paul Steinmann | 视频video | | 概述 | Gives a unifying up-to-date approach to configurational mechanics.Introduces material forces in a dissipation-consistent approach.Includes detailed derivations of general importance in continuum mecha | 丛书名称 | Solid Mechanics and Its Applications | 图书封面 |  | 描述 | .This monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the spatial positions of its continuum points. However, if in agreement with the second law, continuum points, e.g. on the boundary, may also change their material positions. Configurational forces are then power conjugate to these configurational changes. A paradigm is a crack tip, i.e. a singular part of the boundary changing its position during crack propagation, with the relatedconfigurational force, typically the J-integral, driving its evolution, thereby consuming power, typically expressed as the energy release rate. Taken together, configurational mechanics is an unconventional branch of c | 出版日期 | Book 2022 | 关键词 | Continuum Mechanics; Configurational Mechanics; Spatial versus Material Settings; Dissipation-Consisten | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-89070-4 | isbn_softcover | 978-3-030-89072-8 | isbn_ebook | 978-3-030-89070-4Series ISSN 0925-0042 Series E-ISSN 2214-7764 | issn_series | 0925-0042 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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