Stress Formulation in Three-dimensional Elasticity ... Nasa/tp-2001-210515 ... Oct. 11, 2001
| Author | : United States. National Aeronautics and Space Administration |
| Publisher | : |
| Total Pages | : |
| Release | : 2004* |
| Genre | : |
| ISBN | : |
Stress Formulation In Three Dimensional Elasticity Nasa Tp 2001 210515 Oct 11 2001
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Stress Formulation in Three-Dimensional Elasticity
| Author | : National Aeronautics and Space Administration (NASA) |
| Publisher | : Createspace Independent Publishing Platform |
| Total Pages | : 40 |
| Release | : 2018-06-16 |
| Genre | : |
| ISBN | : 9781721269082 |
The theory of elasticity evolved over centuries through the contributions of eminent scientists like Cauchy, Navier, Hooke Saint Venant, and others. It was deemed complete when Saint Venant provided the strain formulation in 1860. However, unlike Cauchy, who addressed equilibrium in the field and on the boundary, the strain formulation was confined only to the field. Saint Venant overlooked the compatibility on the boundary. Because of this deficiency, a direct stress formulation could not be developed. Stress with traditional methods must be recovered by backcalculation: differentiating either the displacement or the stress function. We have addressed the compatibility on the boundary. Augmentation of these conditions has completed the stress formulation in elasticity, opening up a way for a direct determination of stress without the intermediate step of calculating the displacement or the stress function. This Completed Beltrami-Michell Formulation (CBMF) can be specialized to derive the traditional methods, but the reverse is not possible. Elasticity solutions must be verified for the compliance of the new equation because the boundary compatibility conditions expressed in terms of displacement are not trivially satisfied. This paper presents the variational derivation of the stress formulation, illustrates the method, examines attributes and benefits, and outlines the future course of research. Patnaik, Surya N. and Hopkins, Dale A. Glenn Research Center NASA/TP-2001-210515, E-10106-1, NAS 1.60:210515
Stress Formulation in Three-Dimensional Elasticity
| Author | : Surya N. Patnaik |
| Publisher | : |
| Total Pages | : 26 |
| Release | : 2001 |
| Genre | : Boundary element methods |
| ISBN | : |
The theory of elasticity evolved over centuries through the contributions of eminent scientists like Cauchy, Navier, Hooke Saint Venant, and others. It was deemed complete when Saint Venant provided the strain formulation in 1860. However, unlike Cauchy, who addressed equilibrium in the field and on the boundary. the strain formulation was confined only to the field. Saint Venant overlooked the compatibility on the boundary. Because of this deficiency, a direct stress formulation could not be developed. Stress with traditional methods must be recovered by backcalculation : differentiating either the displacement or the stress function. We have addressed the compatibility on the boundary. Augmentation of these conditions has completed the stress formulation in elasticity, opening up a way for a direct determination of stress without the intermediate step of calculating the displacement or the stress function.
Electronic Inventions and Discoveries
| Author | : G. W. A. Dummer |
| Publisher | : Elsevier |
| Total Pages | : 244 |
| Release | : 2013-10-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1483145212 |
Electronic Inventions and Discoveries: Electronics from Its Earliest Beginnings to the Present Day provides a summary of the development of the whole field of electronics. Organized into 13 chapters, the book covers and reviews the history of electronics as a whole and its aspects. The opening chapter covers the beginnings of electronics, while the next chapter discusses the development of components, transistors, and integrated circuits. The third chapter tackles the expansion of electronics and its effects on industry. The succeeding chapters discuss the history of the aspects of electronics, such as audio and sound reproduction, radio and telecommunications, radar, television, computers, robotics, information technology, and industrial and other applications. Chapter 10 provides a lists of electronic inventions according to subject, while Chapter 11 provides a concise description of each invention by date order. Chapter 12 enumerates the inventors of electronic devices. The last chapter provides a list of books about inventions and inventors. This book will appeal to readers who are curious about the development of electronics throughout history.
Fundamentals of Space Medicine
| Author | : Gilles Clément |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 383 |
| Release | : 2007-08-09 |
| Genre | : Science |
| ISBN | : 1402034342 |
This readable text presents findings from the life science experiments conducted during and after space missions. It provides an insight into the space medical community and the real challenges that face the flight surgeon and life science investigator.
Parallel Processing and Applied Mathematics
| Author | : Roman Wyrzykowski |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2020-03-13 |
| Genre | : Computers |
| ISBN | : 9783030432218 |
The two-volume set LNCS 12043 and 12044 constitutes revised selected papers from the 13th International Conference on Parallel Processing and Applied Mathematics, PPAM 2019, held in Bialystok, Poland, in September 2019. The 91 regular papers presented in these volumes were selected from 161 submissions. For regular tracks of the conference, 41 papers were selected from 89 submissions. The papers were organized in topical sections named as follows: Part I: numerical algorithms and parallel scientific computing; emerging HPC architectures; performance analysis and scheduling in HPC systems; environments and frameworks for parallel/distributed/cloud computing; applications of parallel computing; parallel non-numerical algorithms; soft computing with applications; special session on GPU computing; special session on parallel matrix factorizations. Part II: workshop on language-based parallel programming models (WLPP 2019); workshop on models algorithms and methodologies for hybrid parallelism in new HPC systems; workshop on power and energy aspects of computations (PEAC 2019); special session on tools for energy efficient computing; workshop on scheduling for parallel computing (SPC 2019); workshop on applied high performance numerical algorithms for PDEs; minisymposium on HPC applications in physical sciences; minisymposium on high performance computing interval methods; workshop on complex collective systems. Chapters "Parallel adaptive cross approximation for the multi-trace formulation of scattering problems" and "A High-Order Discontinuous Galerkin Solver with Dynamic Adaptive Mesh Refinement to Simulate Cloud Formation Processes" of LNCS 12043 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Data Mining Techniques for the Life Sciences
| Author | : Oliviero Carugo |
| Publisher | : Humana |
| Total Pages | : 407 |
| Release | : 2016-08-23 |
| Genre | : Science |
| ISBN | : 9781493956883 |
Most life science researchers will agree that biology is not a truly theoretical branch of science. The hype around computational biology and bioinformatics beginning in the nineties of the 20th century was to be short lived (1, 2). When almost no value of practical importance such as the optimal dose of a drug or the three-dimensional structure of an orphan protein can be computed from fundamental principles, it is still more straightforward to determine them experimentally. Thus, experiments and observationsdogeneratetheoverwhelmingpartofinsightsintobiologyandmedicine. The extrapolation depth and the prediction power of the theoretical argument in life sciences still have a long way to go. Yet, two trends have qualitatively changed the way how biological research is done today. The number of researchers has dramatically grown and they, armed with the same protocols, have produced lots of similarly structured data. Finally, high-throu- put technologies such as DNA sequencing or array-based expression profiling have been around for just a decade. Nevertheless, with their high level of uniform data generation, they reach the threshold of totally describing a living organism at the biomolecular level for the first time in human history. Whereas getting exact data about living systems and the sophistication of experimental procedures have primarily absorbed the minds of researchers previously, the weight increasingly shifts to the problem of interpreting accumulated data in terms of biological function and bio- lecular mechanisms.
Formulas for Stress, Strain, and Structural Matrices
| Author | : Walter D. Pilkey |
| Publisher | : John Wiley & Sons |
| Total Pages | : 1544 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : |
Publisher Description
Olive Oil
| Author | : Dimitrios Boskou |
| Publisher | : MDPI |
| Total Pages | : 130 |
| Release | : 2021-04-12 |
| Genre | : Science |
| ISBN | : 3039438557 |
The Mediterranean diet is well-known worldwide and recognized as a nutrition reference model by the World Health Organization. Virgin olive oil, prepared from healthy and intact fruits of the olive tree only by mechanical means, is a basic ingredient and a real pillar of this diet. Its positive role in health has now been a topic of universal concern. The virtues of natural olive oil, and especially of extra virgin olive oil, are related to the quality of the fruits, the employment of advanced technologies, and the availability of sophisticated analytical techniques that are used to control the origin of the fruits and guarantee the grade of the final product. To enrich recent multidisciplinary scientific information concerning this healthy lipid source, a new special issue of Foods has been published.
