Verfügbarkeit: Structural geology algorithms | Technische Universität München

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Bibliographische Detailangaben
Beteiligte Personen:	Allmendinger, Richard W. (VerfasserIn), Cardozo, Nestor (VerfasserIn), Fisher, Donald M. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Cambridge [u.a.] Cambridge Univ. Press 2012
Ausgabe:	1. publ.
Schlagwörter:	Strukturgeologie Mathematisches Modell
Links:	http://assets.cambridge.org/97811070/12004/cover/9781107012004.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024529173&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XI, 289 S. Ill., graph. Darst.
ISBN:	9781107012004 9781107401389

Internformat

MARC


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Datensatz im Suchindex

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adam_text	IMAGE 1 CONTENTS PREFACE PAGE IX 1 PROBLEM SOLVING IN STRUCTURAL GEOLOGY 1 1.1 OBJECTIVES OF STRUCTURAL ANALYSIS 1 1.2 ORTHOGRAPHIC PROJECTION AND PLANE TRIGONOMETRY 3 1.3 SOLVING PROBLEMS BY COMPUTATION 6 1.4 SPHERICAL PROJECTIONS 8 1.5 MAP PROJECTIONS 18 2 COORDINATE SYSTEMS, SCALARS, AND VECTORS 23 2.1 COORDINATE SYSTEMS 23 2.2 SCALARS 25 2.3 VECTORS 25 2.4 EXAMPLES OF STRUCTURE PROBLEMS USING VECTOR OPERATIONS 34 2.5 EXERCISES 43 3 TRANSFORMATIONS OF COORDINATE AXES AND VECTORS 44 3.1 WHAT ARE TRANSFORMATIONS AND WHY ARE THEY IMPORTANT? 44 3.2 TRANSFORMATION OF AXES 45 3.3 TRANSFORMATION OF VECTORS 48 3.4 EXAMPLES OF TRANSFORMATIONS IN STRUCTURAL GEOLOGY 50 3.5 EXERCISES 65 4 MATRIX OPERATIONS AND INDICIAL NOTATION 66 4.1 INTRODUCTION 66 4.2 INDICIAL NOTATION 66 4.3 MATRIX NOTATION AND OPERATIONS 69 4.4 TRANSFORMATIONS OF COORDINATES AND VECTORS REVISITED 77 4.5 EXERCISES 79 V IMAGE 2 VI CONTENTS 5 TENSORS 81 5.1 WHAT ARE TENSORS? 81 5.2 TENSOR NOTATION AND THE SUMMATION CONVENTION 82 5.3 TENSOR TRANSFORMATIONS 85 5.4 PRINCIPAL AXES AND ROTATION AXIS OF A TENSOR 88 5.5 EXAMPLE OF EIGENVALUES AND EIGENVECTORS IN STRUCTURAL GEOLOGY 91 5.6 EXERCISES 97 6 STRESS 98 6.1 STRESS VECTORS AND STRESS TENSORS 98 6.2 CAUCHY S LAW 99 6.3 BASIC CHARACTERISTICS OF STRESS 104 6.4 THE DEVIATORIC STRESS TENSOR 112 6.5 A PROBLEM INVOLVING STRESS 113 6.6 EXERCISES 1 19 7 INTRODUCTION TO DEFORMATION 120 7.1 INTRODUCTION 120 7.2 DEFORMATION AND DISPLACEMENT GRADIENTS 121 7.3 DISPLACEMENT AND DEFORMATION GRADIENTS IN THREE DIMENSIONS 125 7.4 GEOLOGICAL APPLICATION: GPS TRANSECTS 128 7.5 EXERCISES 132 8 INFINITESIMAL STRAIN 135 8.1 SMALLER IS SIMPLER 135 8.2 INFINITESIMAL STRAIN IN THREE DIMENSIONS 138 8.3 TENSOR SHEAR STRAIN VS. ENGINEERING SHEAR STRAIN 140 8.4 STRAIN INVARIANTS 141 8.5 STRAIN QUADRIC AND STRAIN ELLIPSOID 142 8.6 MOHR CIRCLE FOR INFINITESIMAL STRAIN 143 8.7 EXAMPLE OF CALCULATIONS 144 8.8 GEOLOGICAL APPLICATIONS OF INFINITESIMAL STRAIN 147 8.9 EXERCISES 164 9 FINITE STRAIN 165 9.1 INTRODUCTION 165 9.2 DERIVATION OF THE LAGRANGIAN STRAIN TENSOR 166 9.3 EULERIAN FINITE STRAIN TENSOR 167 9.4 DERIVATION OF THE GREEN DEFORMATION TENSOR 167 9.5 RELATIONS BETWEEN THE FINITE STRAIN AND DEFORMATION TENSORS 168 9.6 RELATIONS TO THE DEFORMATION GRADIENT, F 169 9.7 PRACTICAL MEASURES OF STRAIN 170 9.8 THE ROTATION AND STRETCH TENSORS 1 73 9.9 MULTIPLE DEFORMATIONS 176 9.10 MOHR CIRCLE FOR FINITE STRAIN 176 9.11 COMPATIBILITY EQUATIONS 178 9.12 EXERCISES 180 IMAGE 3 CONTENTS VII 10 PROGRESSIVE STRAIN HISTORIES AND KINEMATICS 183 10.1 FINITE VERSUS INCREMENTAL STRAIN 183 10.2 DETERMINATION OF A STRAIN HISTORY 199 10.3 EXERCISES 213 11 VELOCITY DESCRIPTION OF DEFORMATION 217 11.1 INTRODUCTION 217 11.2 THE CONTINUITY EQUATION 218 11.3 PURE AND SIMPLE SHEAR IN TERMS OF VELOCITIES 219 11.4 GEOLOGICAL APPLICATION: FAULT-RELATED FOLDING 220 11.5 EXERCISES 252 12 ERROR ANALYSIS 254 12.1 INTRODUCTION 254 12.2 ERROR PROPAGATION 255 12.3 GEOLOGICAL APPLICATION: CROSS-SECTION BALANCING 256 12.4 UNCERTAINTIES IN STRUCTURAL DATA AND THEIR REPRESENTATION 266 12.5 GEOLOGICAL APPLICATION: TRISHEAR INVERSE MODELING 270 12.6 EXERCISES 279 REFERENCES 281 INDEX 286
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author	Allmendinger, Richard W. Cardozo, Nestor Fisher, Donald M.
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ctrlnum	(OCoLC)741549235 (DE-599)GBV667795146
dewey-full	551.801/5181
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	551 - Geology, hydrology, meteorology
dewey-raw	551.801/5181
dewey-search	551.801/5181
dewey-sort	3551.801 45181
dewey-tens	550 - Earth sciences
discipline	Geologie / Paläontologie Geographie
edition	1. publ.
format	Book
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id	DE-604.BV039680152
illustrated	Illustrated
indexdate	2024-12-20T15:59:57Z
institution	BVB
isbn	9781107012004 9781107401389
language	English
lccn	2011030685
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-024529173
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owner	DE-29 DE-19 DE-BY-UBM DE-11 DE-703 DE-83 DE-188
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physical	XI, 289 S. Ill., graph. Darst.
publishDate	2012
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publisher	Cambridge Univ. Press
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spellingShingle	Allmendinger, Richard W. Cardozo, Nestor Fisher, Donald M. Structural geology algorithms vectors and tensors Strukturgeologie (DE-588)4225664-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd
subject_GND	(DE-588)4225664-1 (DE-588)4114528-8
title	Structural geology algorithms vectors and tensors
title_auth	Structural geology algorithms vectors and tensors
title_exact_search	Structural geology algorithms vectors and tensors
title_full	Structural geology algorithms vectors and tensors Richard W. Allmendinger ; Nestor Cardozo ; Donald M. Fisher
title_fullStr	Structural geology algorithms vectors and tensors Richard W. Allmendinger ; Nestor Cardozo ; Donald M. Fisher
title_full_unstemmed	Structural geology algorithms vectors and tensors Richard W. Allmendinger ; Nestor Cardozo ; Donald M. Fisher
title_short	Structural geology algorithms
title_sort	structural geology algorithms vectors and tensors
title_sub	vectors and tensors
topic	Strukturgeologie (DE-588)4225664-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd
topic_facet	Strukturgeologie Mathematisches Modell
url	http://assets.cambridge.org/97811070/12004/cover/9781107012004.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024529173&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT allmendingerrichardw structuralgeologyalgorithmsvectorsandtensors AT cardozonestor structuralgeologyalgorithmsvectorsandtensors AT fisherdonaldm structuralgeologyalgorithmsvectorsandtensors

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