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Boundary Element Analysis in Computational Fracture Mechanics (1988)

Boundary Element Analysis in Computational Fracture Mechanics

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"Boundary Element Analysis in Computational Fracture Mechanics" by T.A. Cruse is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

The Boundary Integral Equation (BIE) method has occupied me to various degrees for the past twenty-two years. The attraction of BIE analysis has been its unique combination of mathematics and practical application. The EIE method is unforgiving in its requirement for mathe matical care and its requirement for diligence in creating effective numerical algorithms. The EIE method has the ability to provide critical inSight into the mathematics that underlie one of the most powerful and useful modeling approximations ever devised--elasticity. The method has even revealed important new insights into the nature of crack tip plastic strain distributions. I believe that EIE modeling of physical problems is one of the remaining opportunities for challenging and fruitful research by those willing to apply sound mathematical discipline coupled with phys ical insight and a desire to relate the two in new ways. The monograph that follows is the summation of many of the successes of that twenty-two years, supported by the ideas and synergisms that come from working with individuals who share a common interest in engineering mathematics and their application. The focus of the monograph is on the application of EIE modeling to one of the most important of the solid mechanics disciplines--fracture mechanics. The monograph is not a trea tise on fracture mechanics, as there are many others who are far more qualified than I to expound on that topic.

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Best For: Researchers and engineers working in fracture mechanics and computational methods.
Focus: Application of the Boundary Integral Equation method to fracture mechanics problems.
Covers: Mathematical foundations and numerical algorithms related to boundary element analysis in fracture mechanics.
Why It Matters: Provides detailed insight into a mathematical method that combines theory and practical application for analyzing fractures.

"Boundary Element Analysis in Computational Fracture Mechanics" by T.A. Cruse is a physics book focused on Dynamics. Best for students, educators, and scientifically curious readers.

Topic: Dynamics

Author: T.A. Cruse

Who this is for:

  • Physics students
  • Science-minded readers
  • Readers building technical understanding

Why this book matters: It provides structured coverage of physics concepts in a way that supports deeper understanding and continued study.

The Boundary Integral Equation (BIE) method has occupied me to various degrees for the past twenty-two years. The attraction of BIE analysis has been its unique combination of mathematics and practical application. The EIE method is unforgiving in its requirement for mathe matical care and its requirement for diligence in creating effective numerical algorithms. The EIE method has the ability to provide critical inSight into the mathematics that underlie one of the most powerful and useful modeling approximations ever devised--elasticity. The method has even revealed important new insights into the nature of crack tip plastic strain distributions. I believe that EIE modeling of physical problems is one of the remaining opportunities for challenging and fruitful research by those willing to apply sound mathematical discipline coupled with phys ical insight and a desire to relate the two in new ways. The monograph that follows is the summation of many of the successes of that twenty-two years, supported by the ideas and synergisms that come from working with individuals who share a common interest in engineering mathematics and their application. The focus of the monograph is on the application of EIE modeling to one of the most important of the solid mechanics disciplines--fracture mechanics. The monograph is not a trea tise on fracture mechanics, as there are many others who are far more qualified than I to expound on that topic.

AuthorT.A. Cruse
PublisherSpringer Science & Business Media
Published1988-06-30
ISBN-139789024736140
BindingHardcover
Pages194
LanguageEnglish
SubjectsScience
TopicDynamics
SeriesMechanics: Computational Mechanics

Format: Hardcover

Length: 194 pages

Language: English

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