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Isogeometric finite element method for limit and shakedown analysis of structures

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Nội dung chi tiết: Isogeometric finite element method for limit and shakedown analysis of structures

Isogeometric finite element method for limit and shakedown analysis of structures

Table of ContentsContentsPageAcknowledgmentsiiiAbstractVList of FiguresviiiList of TablesxiiNotationsxii1INTRODUCTION11.1General introduction.........

Isogeometric finite element method for limit and shakedown analysis of structures ................................... 11.2Motivation of the thesis ...................................... 41.3Objectives and Scope of Study.............

..................... 51.1Outline of the thesis.......................................... 61.5Original contributionsof the thesis..................... Isogeometric finite element method for limit and shakedown analysis of structures

...... G1.6List of Publications........................................... 72FUNDAMENTALS92.1Material model...........................................

Isogeometric finite element method for limit and shakedown analysis of structures

...... 92.1.1Elastic perfectly plastic and rigidperfectly plastic material models 92.1.2Drucker’s stability postulate.......................... 122.1.

Table of ContentsContentsPageAcknowledgmentsiiiAbstractVList of FiguresviiiList of TablesxiiNotationsxii1INTRODUCTION11.1General introduction.........

Isogeometric finite element method for limit and shakedown analysis of structures n function........................... 162.2.2Variational principles................................. 162.3Shakedown analysis..........................

.................. 172.3.1Introduction........................................... 172.3.2Fundamental of shakedown analysis...................... 192.1 Isogeometric finite element method for limit and shakedown analysis of structures

Summary....................................................... 27VTable uf Contents vi2.5Primal-dual interior point methods...........................

Isogeometric finite element method for limit and shakedown analysis of structures

......... 283ISOGEOMETRIC FINITE ELEMENT METHOD303.1Introduction.......................................................... 303.2NURBS.................

Table of ContentsContentsPageAcknowledgmentsiiiAbstractVList of FiguresviiiList of TablesxiiNotationsxii1INTRODUCTION11.1General introduction.........

Isogeometric finite element method for limit and shakedown analysis of structures .......................................... 373.2.3B-Spline Surfaces............................................... 383.2.4B-Spline Solids.............

.................................... 383.2.5Refinement techniques........................................... 38 Isogeometric finite element method for limit and shakedown analysis of structures

Table of ContentsContentsPageAcknowledgmentsiiiAbstractVList of FiguresviiiList of TablesxiiNotationsxii1INTRODUCTION11.1General introduction.........

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