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001 978-3-319-47614-8
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007 cr nn 008mamaa
008 161104s2017 sz | s |||| 0|eng d
020 _a9783319476148
_9978-3-319-47614-8
024 7 _a10.1007/978-3-319-47614-8
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aRao, J.S.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_92991
245 1 0 _aSimulation Based Engineering in Solid Mechanics
_h[electronic resource] /
_cby J.S. Rao.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXIV, 200 p. 100 illus., 56 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- Introduction -- 1.1 Matrices -- 1.2 Vectors and Tensors -- 1.3 Energy Principle -- 2 Continuous Solid -- 2.1 External and Internal Tractions -- 2.2. Stress Definition -- 2.3. Equilibrium Relations -- 2.4. Strain -- 2.5. Stress -- Strain Relations -- 2.6 Strain Energy and Work -- 2.7 Von Mises Stress -- 3 Euler-Lagrange Equations -- 3.1 General Approach for solving Structural Problems -- 3.2 Other Applications of Euler-Lagrange Equation leading to Optimization -- 3.3 Derivation of Euler-Lagrange Equation through Delta Operator -- 4 Axially Loaded 1-D Structures -- 4.1 Simply Supported Bar -- 4.2 Simply Supported - Free Bar -- 4.3 Finite Element Method -- 4.4 Thermal Stresses -- 4.5 Principle of Virtual Work4.6 Minimization of Total Potential Energy -- 5 Twisting of a Rod -- 5.1 Finite Element Method for Torsion -- 5.2 Two Elements and Stiffness Matrix Assembly -- 5.3 Ritz Method for Torsion -- 6 Bending of a Beam -- 6.1 Bending by Energy Method -- 6.2 Beam with Axial Load (Beam-Column) -- 6.3 Strength of Materials Approach -- 6.4 Beam Solution by Energy Method -- 6.5 Beam Finite Element -- 6.6 Buckling revisited -- 6.7 Galerkin Method for Tapered Beams -- 6.8 General Structures by Commercial Solvers -- 7. Epilogue -- Acknowledgements -- Index. .
520 _aThis book begins with a brief historical perspective of the advent of rotating machinery in 20th century Solid Mechanics and the development of the discipline of the Strength of Materials. High Performance Computing (HPC) and Simulation Based Engineering Science (SBES) have gradually replaced the conventional approach in Design bringing science directly into engineering without approximations. A recap of the required mathematical principles is given. The science of deformation, strain and stress at a point under the application of external traction loads is next presented. Only one-dimensional structures classified as Bars (axial loads), Rods (twisting loads) and Beams (bending loads) are considered in this book. The principal stresses and strains and von Mises stress and strain that used in design of structures are next presented. Lagrangian solution was used to derive the governing differential equations consistent with assumed deformation field and solution for deformations, strains and stresses were obtained. The finite element method most suitable for HPC is derived and the corresponding stiffness matrix for the element is derived. Assembling procedure of these matrices is then described to obtain the system matrices. Worked examples and exercises are given in each chapter. This book brings SBES at entry level allowing young students to quickly adapt to modern design practices. .
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aMechanics.
_98758
650 0 _aEngineering design.
_93802
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aClassical Mechanics.
_931661
650 2 4 _aEngineering Design.
_93802
710 2 _aSpringerLink (Online service)
_962543
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319476131
776 0 8 _iPrinted edition:
_z9783319476155
776 0 8 _iPrinted edition:
_z9783319837819
856 4 0 _uhttps://doi.org/10.1007/978-3-319-47614-8
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c80995
_d80995