Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Modeling and Control in Solid Mechanics: (122 International Series of Numerical Mathematics)
36%
Modeling and Control in Solid Mechanics: (122 International Series of Numerical Mathematics)

Modeling and Control in Solid Mechanics: (122 International Series of Numerical Mathematics)

          
5
4
3
2
1

Available


Premium quality
Premium quality
Bookswagon upholds the quality by delivering untarnished books. Quality, services and satisfaction are everything for us!
Easy Return
Easy return
Not satisfied with this product! Keep it in original condition and packaging to avail easy return policy.
Certified product
Certified product
First impression is the last impression! Address the book’s certification page, ISBN, publisher’s name, copyright page and print quality.
Secure Checkout
Secure checkout
Security at its finest! Login, browse, purchase and pay, every step is safe and secured.
Money back guarantee
Money-back guarantee:
It’s all about customers! For any kind of bad experience with the product, get your actual amount back after returning the product.
On time delivery
On-time delivery
At your doorstep on time! Get this book delivered without any delay.
Quantity:
Add to Wishlist

About the Book

New trends in free boundary problems and new mathematical tools together with broadening areas of applications have led to attempts at presenting the state of art of the field in a unified way. In this monograph we focus on formal models representing contact problems for elastic and elastoplastic plates and shells. New approaches open up new fields for research. For example, in crack theory a systematic treatment of mathematical modelling and optimization of problems with cracks is required. Similarly, sensitivity analysis of solutions to problems subjected to perturbations, which forms an important part of the problem solving process, is the source of many open questions. Two aspects of sensitivity analysis, namely the behaviour of solutions under deformations of the domain of integration and perturbations of surfaces seem to be particularly demanding in this context. On writing this book we aimed at providing the reader with a self-contained study of the mathematical modelling in mechanics. Much attention is given to modelling of typical constructions applied in many different areas. Plates and shallow shells which are widely used in the aerospace industry provide good exam­ ples. Allied optimization problems consist in finding the constructions which are of maximal strength (endurance) and satisfy some other requirements, ego weight limitations. Mathematical modelling of plates and shells always requires a reasonable compromise between two principal needs. One of them is the accuracy of the de­ scription of a physical phenomenon (as required by the principles of mechanics).

Table of Contents:
1 Introduction.- 1 Elements of mathematical analysis and calculus of variations.- 2 Mathematical models of elastic bodies. Contact problems.- 2 Variational Inequalities in Contact Problems of Elasticity.- 1 Contact between an elastic body and a rigid body.- 2 Contact between two elastic bodies.- 3 Contact between a shallow shell and a rigid punch.- 4 Contact between two elastic plates.- 5 Regularity of solutions to variational inequalities of order four.- 6 Boundary value problems for nonlinear shells.- 7 Boundary value problems for linear shells.- 8 Dynamic problems.- 3 Variational Inequalities in Plasticity.- 1 Preliminaries.- 2 The Hencky model.- 3 Dynamic problem for generalized equations of the flow model.- 4 The Kirchhoff-Love shell. Existence of solutions to the dynamic problem.- 5 Existence of solutions to one-dimensional problems.- 6 Existence of solutions for a quasistatic shell.- 7 Contact problem for the Kirchhoff plate.- 8 Contact problem for the Timoshenko beam.- 9 The case of tangential displacements.- 10 Beam under plasticity and creep conditions.- 11 The contact viscoelastoplastic problem for a beam.- 4 Optimal Control Problems.- 1 Optimal distribution of external forces for plates with obstacles.- 2 Optimal shape of obstacles.- 3 Other cost functionals.- 4 Plastic hinge on the boundary.- 5 Optimal control problem for a beam.- 6 Optimal control problem for a fourth-order variational inequality.- 7 The case of two punches.- 8 Optimal control of stretching forces.- 9 Extreme shapes of cracks in a plate.- 10 Extreme shapes of unilateral cracks.- 11 Optimal control in elastoplastic problems.- 12 The case of vertical and horizontal displacements.- 5 Sensitivity Analysis.- 5.1 Properties of metric projection in Hilbert spaces.- 5.2 Shape sensitivity analysis.- 5.3 Unilateral problems in H20(?).- 5.4 Unilateral problems in H2(?) ? H10(?).- 5.5 Systems with unilateral conditions.- 5.6 Shape estimation problems.- 5.7 Domain optimization problem for parabolic equations.- References.


Best Sellers


Product Details
  • ISBN-13: 9783034898553
  • Publisher: Birkhauser Verlag AG
  • Publisher Imprint: Birkhauser Verlag AG
  • Edition: Softcover reprint of the original 1st ed. 1997
  • Language: English
  • Returnable: Y
  • Spine Width: 20 mm
  • Width: 170 mm
  • ISBN-10: 303489855X
  • Publisher Date: 18 Sep 2011
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 370
  • Series Title: 122 International Series of Numerical Mathematics
  • Weight: 616 gr


Similar Products

How would you rate your experience shopping for books on Bookswagon?

Add Photo
Add Photo

Customer Reviews

REVIEWS           
Click Here To Be The First to Review this Product
Modeling and Control in Solid Mechanics: (122 International Series of Numerical Mathematics)
Birkhauser Verlag AG -
Modeling and Control in Solid Mechanics: (122 International Series of Numerical Mathematics)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Modeling and Control in Solid Mechanics: (122 International Series of Numerical Mathematics)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book
    Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!
    ASK VIDYA