2 edition of **Non linear continuum theories in mechanics and physics and their applications.** found in the catalog.

Non linear continuum theories in mechanics and physics and their applications.

Centro internazionale matematico estivo.

- 7 Want to read
- 23 Currently reading

Published
**1970**
by Cremonese in Roma
.

Written in English

- Continuum mechanics.,
- Nonlinear theories.

**Edition Notes**

Includes bibliographical references.

Contributions | Rivlin, Ronald S., ed. |

Classifications | |
---|---|

LC Classifications | QA808.2 .C45 |

The Physical Object | |

Pagination | 351 p. |

Number of Pages | 351 |

ID Numbers | |

Open Library | OL5012183M |

LC Control Number | 76580524 |

In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in. Given the book’s emphasis on basic theory and its size, there is little in the way of practical applications. Moreover, it is not clear from the book how the theory would be used to solve practical problems. Hence, this limits the book’s usefulness in subjects that include a considerable amount of detail on specific applications.

Detailed expositions on nonlinear continuum mechanics and its foundations can be found in [72] [73] [74], among others. Furthermore, we briefly elaborate on a robust numerical approach suitable to. Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies.. If the present state of an object is known it is possible to predict by the laws of classical mechanics how it will move in the future (determinism) and how it has moved in the past (reversibility).

description of defects in continous media. I will then illustrate some basic concepts of nonlinear continuum mechanics and discuss applications to the above theories. By doing so, I hope to attract attention to the possible relevance of these facts for ‘fundamental’ physics. Contents 1 Old unresolved problems in theoretical physics 2. The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics - kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles Author: Yuriy I. Dimitrienko.

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