Geometric Continuum Mechanics and Induced Beam Theories
This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as t...
Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Sách |
| Ngôn ngữ: | English |
| Được phát hành: |
Springer
2016
|
| Những chủ đề: | |
| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59783 |
| Các nhãn: |
Thêm thẻ
Không có thẻ, Là người đầu tiên thẻ bản ghi này!
|
| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
|---|
| id |
oai:scholar.dlu.edu.vn:DLU123456789-59783 |
|---|---|
| record_format |
dspace |
| spelling |
oai:scholar.dlu.edu.vn:DLU123456789-597832023-11-11T06:51:46Z Geometric Continuum Mechanics and Induced Beam Theories Eugster, Simon General Civil Engineering Technology Continuum mechanics Girders This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories. 2016-03-09T07:15:06Z 2016-03-09T07:15:06Z 2015 Book 978-3-319-16495-3 978-3-319-16494-6 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59783 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
General Civil Engineering Technology Continuum mechanics Girders |
| spellingShingle |
General Civil Engineering Technology Continuum mechanics Girders Eugster, Simon Geometric Continuum Mechanics and Induced Beam Theories |
| description |
This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories. |
| format |
Book |
| author |
Eugster, Simon |
| author_facet |
Eugster, Simon |
| author_sort |
Eugster, Simon |
| title |
Geometric Continuum Mechanics and Induced Beam Theories |
| title_short |
Geometric Continuum Mechanics and Induced Beam Theories |
| title_full |
Geometric Continuum Mechanics and Induced Beam Theories |
| title_fullStr |
Geometric Continuum Mechanics and Induced Beam Theories |
| title_full_unstemmed |
Geometric Continuum Mechanics and Induced Beam Theories |
| title_sort |
geometric continuum mechanics and induced beam theories |
| publisher |
Springer |
| publishDate |
2016 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59783 |
| _version_ |
1819834159640608768 |