Plates, laminates and shells: asymptotic analysis and homogenization
This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the hitherto available results concerning the averaging problems in the linear and nonlinear she...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2000
|
| Schriftenreihe: | Series on advances in mathematics for applied sciences
v. 52 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the hitherto available results concerning the averaging problems in the linear and nonlinear shell models. A unified approach to the problems studied is based on modern variational and asymptotic methods, including the methods of variational inequalities as well as homogenization techniques. Duality arguments are also exploited. A significant part of the book deals with problems important for engineering practice, such as: statical analysis of highly nonhomogeneous plates and shells for which common discretization techniques fail to be efficient, assessing stiffness reduction of cracked [00n/900m]s laminates, and assessing ultimate loads for perfectly plastic plates and shells composed of repeated segments. When possible, the homogenization formulas are cast in closed form expressions. The formulas presented in this manner are then used in constructing regularized formulations of the fundamental optimization problems for plates and shells, since the regularization concepts are based on introducing the composite regions for which microstructural properties play the role of new design variables |
| Beschreibung: | xvii, 739 p. ill |
| ISBN: | 9789812813695 |
Internformat
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| 520 | |a This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the hitherto available results concerning the averaging problems in the linear and nonlinear shell models. A unified approach to the problems studied is based on modern variational and asymptotic methods, including the methods of variational inequalities as well as homogenization techniques. Duality arguments are also exploited. A significant part of the book deals with problems important for engineering practice, such as: statical analysis of highly nonhomogeneous plates and shells for which common discretization techniques fail to be efficient, assessing stiffness reduction of cracked [00n/900m]s laminates, and assessing ultimate loads for perfectly plastic plates and shells composed of repeated segments. When possible, the homogenization formulas are cast in closed form expressions. The formulas presented in this manner are then used in constructing regularized formulations of the fundamental optimization problems for plates and shells, since the regularization concepts are based on introducing the composite regions for which microstructural properties play the role of new design variables | ||
| 650 | 4 | |a Elastic plates and shells | |
| 650 | 4 | |a Homogenization (Differential equations) | |
| 700 | 1 | |a Telega, Jozef Joachim |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| author | Lewinski, T. |
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| dewey-ones | 531 - Classical mechanics |
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| discipline | Physik |
| format | Electronic eBook |
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| id | DE-604.BV044636380 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:49Z |
| institution | BVB |
| isbn | 9789812813695 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034350 |
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| physical | xvii, 739 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series on advances in mathematics for applied sciences |
| spelling | Lewinski, T. Verfasser aut Plates, laminates and shells asymptotic analysis and homogenization T. Lewinski, J.J. Telega Singapore World Scientific Pub. Co. c2000 xvii, 739 p. ill txt rdacontent c rdamedia cr rdacarrier Series on advances in mathematics for applied sciences v. 52 This book gives a systematic and comprehensive presentation of the results concerning effective behavior of elastic and plastic plates with periodic or quasiperiodic structure. One of the chapters covers the hitherto available results concerning the averaging problems in the linear and nonlinear shell models. A unified approach to the problems studied is based on modern variational and asymptotic methods, including the methods of variational inequalities as well as homogenization techniques. Duality arguments are also exploited. A significant part of the book deals with problems important for engineering practice, such as: statical analysis of highly nonhomogeneous plates and shells for which common discretization techniques fail to be efficient, assessing stiffness reduction of cracked [00n/900m]s laminates, and assessing ultimate loads for perfectly plastic plates and shells composed of repeated segments. When possible, the homogenization formulas are cast in closed form expressions. The formulas presented in this manner are then used in constructing regularized formulations of the fundamental optimization problems for plates and shells, since the regularization concepts are based on introducing the composite regions for which microstructural properties play the role of new design variables Elastic plates and shells Homogenization (Differential equations) Telega, Jozef Joachim Sonstige oth Erscheint auch als Druck-Ausgabe 9789810232061 Erscheint auch als Druck-Ausgabe 9810232063 http://www.worldscientific.com/worldscibooks/10.1142/3539#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Lewinski, T. Plates, laminates and shells asymptotic analysis and homogenization Elastic plates and shells Homogenization (Differential equations) |
| title | Plates, laminates and shells asymptotic analysis and homogenization |
| title_auth | Plates, laminates and shells asymptotic analysis and homogenization |
| title_exact_search | Plates, laminates and shells asymptotic analysis and homogenization |
| title_full | Plates, laminates and shells asymptotic analysis and homogenization T. Lewinski, J.J. Telega |
| title_fullStr | Plates, laminates and shells asymptotic analysis and homogenization T. Lewinski, J.J. Telega |
| title_full_unstemmed | Plates, laminates and shells asymptotic analysis and homogenization T. Lewinski, J.J. Telega |
| title_short | Plates, laminates and shells |
| title_sort | plates laminates and shells asymptotic analysis and homogenization |
| title_sub | asymptotic analysis and homogenization |
| topic | Elastic plates and shells Homogenization (Differential equations) |
| topic_facet | Elastic plates and shells Homogenization (Differential equations) |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3539#t=toc |
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