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Matthias C. Sch A New Kirchhoff-Love Beam Element and it (Paperback) (UK IMPORT)
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Item specifics
- Condition
- Book Title
- New Kirchhoff-Love Beam Element and Its Application to Polymer Mechanics
- Publication Name
- A New Kirchhoff-Love Beam Element and its Application to Polymer
- Title
- A New Kirchhoff-Love Beam Element and its Application to Polymer
- Format
- Trade Paperback
- EAN
- 9783031063428
- ISBN
- 9783031063428
- Edition
- 1st ed. 2023
- Publisher
- Springer International Publishing A&G
- Genre
- Technology & Engineering, Science
- Topic
- Materials Science / General, Engineering (General), Mechanical, Mechanics / Thermodynamics
- Release Date
- 22/09/2023
- Release Year
- 2023
- Country/Region of Manufacture
- CH
- Item Height
- 235mm
- Item Length
- 9.3in
- Series
- Mechanics and Adaptronics
- Language
- English
- Publication Year
- 2023
- Item Width
- 6.1in
- Item Weight
- 8.7 Oz
- Number of Pages
- Xxi, 134 Pages
About this product
Product Information
The novel finite element formulations fall into the category of geometrically exact Kirchhoff-Love beams. A prominent characteristic of this category is that the absence of shear deformation is strongly enforced by removing two degrees of freedom. Further, the corresponding beam theories exhibit not only translational but also rotational degrees of freedom and their configurations thus form a non-additive and non-commutative space. Sophisticated interpolation schemes are required that need to be tested not only for locking, spatial convergence behavior, and energy conservation, but also for observer invariance and path-independence. For the three novel beam element formulations all these properties are analytically and numerically studied and confirmed, if applicable. Two different rotation parameterization strategies are employed based on the well-known geodesic interpolation used in many Simo-Reissner beams and the lesser known split into the so-called extit{smallest rotation} and a torsional part. Application of the former parameterization results in a mixed finite element formulation intrinsically free of locking phenomena. Additionally, the first geometrically exact Kirchhoff-Love beam element is presented, which strongly enforces inextensibility by removing another degree of freedom. Furthermore, the numerical efficiency of the new beam formulations is compared to other beam elements that allow for or suppress shear deformation. When modeling very slender beams, the new elements offer distinct numerical advantages. Standard molecular dynamics simulations, which are commonly used to study polymers, suffer from a lack of a careful mathematical basis and the use of an expensive explicit time integration scheme. To circumvent these shortcomings and to be able to simulate stretching experiments on relevant time scales, the problem is described by a stochastic partial differential equation, which can be solved using the finite element method with a backward Euler temporal discretization. In detail, the polymer is represented by a Kirchhoff-Love beam with a linear elastic constitutive model. Inertial and electrostatic forces are neglected. It is deformed by a distributed load mimicking collisions with molecules of the surrounding fluid. Naturally, this load heavily fluctuates over time and space and mean values need to be computed in a Monte Carlo manner. To vastly speed up the fitting process to experimental data in a Bayesian framework, a surrogate model based on a Gaussian process is set up, which directly computes the mean values for given material parameters. The uncertainties and correlations of the material parameters are studied and compared to the literature.
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3031063422
ISBN-13
9783031063428
eBay Product ID (ePID)
27062635022
Product Key Features
Book Title
New Kirchhoff-Love Beam Element and Its Application to Polymer Mechanics
Format
Trade Paperback
Language
English
Topic
Materials Science / General, Engineering (General), Mechanical, Mechanics / Thermodynamics
Publication Year
2023
Genre
Technology & Engineering, Science
Number of Pages
Xxi, 134 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
8.7 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Ta349-359
Table of Content
Introduction.- Modeling of slender bodies.- Finite-element formulation of slender bodies modeled by geometrically exact beams.- Modeling the mechanics of single polymer chains in the fi nite-element framework.- Conclusion.
Copyright Date
2023
Dewey Decimal
620.192
Series
Mechanics and Adaptronics Ser.
Dewey Edition
23
Illustrated
Yes
Item description from the seller
Business seller information
Value Added Tax Number:
- GB 864 1548 11
Seller assumes all responsibility for this listing.
eBay item number:395157933131
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Product is 95% alike picture but a little more blurry. Controller play well but had a notice from psn that my joypad wasn't authentic and could by problematic🤷♂️ no trouble so far! Shipping was fast but no tracking and worst packaging ever.. like the box came banged up... send a question to seller never had a reply 😅.... Good product overall, excellent price, fast shipping, wrapped only on 4 sides out of 6, no tracking and never reply... 4★ product / 2★ seller ✌️
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