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Books on the topic '(finite deformation theory)'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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1

Reddy, J. N. A refined shear deformation theory for the analysis of laminated plates. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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2

Madenci, Erdogan. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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3

Center, Langley Research, and United States. National Aeronautics and Space Administration., eds. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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4

Center, Langley Research, and United States. National Aeronautics and Space Administration., eds. Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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5

Besdo, Dieter, and Erwin Stein, eds. Finite Inelastic Deformations — Theory and Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84833-9.

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6

D, Besdo, Stein Erwin, and International Union of Theoretical and Applied Mechanics., eds. Finite inelastic deformations: Theory and applications : IUTAM Symposium, Hannover, Germany, 1991. Berlin: Springer-Verlag, 1992.

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7

Besdo, D. Finite Inelastic Deformations - Theory and Applications: IUTAM Symposium Hannover, Germany 1991. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992.

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8

Argentina) Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry (3rd 2010 Buenos Aires. Topics in noncommutative geometry: Third Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry, Universidad de Buenos Aires, Buenos Aires, Argentina, July 26-August 6, 2010. Edited by Cortiñas, Guillermo, editor of compilation. Providence, RI: American Mathematical Society, 2012.

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9

Apel, Nikolas. Approaches to the description of anisotropic material behaviour at finite elastic and plastic deformations: Theory and numerics. Stuttgart: Inst. für Mechanik (Bauwesen) der Univ., 2004.

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10

Southeastern Lie Theory Workshop on Combinatorial Lie Theory and Applications (2009 : North Carolina State University), Southeastern Lie Theory Conference on Homological Methods in Representation Theory (2010 : University of Georgia), and Southeastern Lie Theory Workshop: Finite and Algebraic Groups (2011 : University of Virginia), eds. Recent developments in Lie algebras, groups, and representation theory: 2009-2011 Southeastern Lie Theory Workshop series : Combinatorial Lie Theory and Applications, October 9-11, 2009, North Carolina State University : Homological Methods in Representation Theory, May 22-24, 2010, University of Georgia : Finite and Algebraic Groups, June 1-4, 2011, University of Virginia. Providence, Rhode Island: American Mathematical Society, 2012.

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11

Lie algebras, lie superalgebras, vertex algebras, and related topics: Southeastern Lie Theory Workshop Series 2012-2014 : Categorification of Quantum Groups and Representation Theory, April 21-22, 2012, North Carolina State University : Lie Algebras, Vertex Algebras, Integrable Systems and Applications, December 16-18, 2012, College of Charleston : Noncommutative Algebraic Geometry and Representation Theory, May 10-12, 2013, Louisiana State Vniversity : Representation Theory of Lie Algebras and Lie Superalgebras, May 16-17, 2014, University of Georgia. Providence, Rhode Island: American Mathematical Society, 2016.

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12

Implementation of free-formulation-based flat shell elements into NASA comet code and development of nonlinear shallow shell element: Grant NAG1-1626. [Hampton, Va.]: NASA Langley Research Center, 1997.

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13

Steigmann, David J. Elements of plasticity theory. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198567783.003.0013.

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Chapter 13 develops the modern theory for finite elastic-plastic deformations. It covers dissipation and highlights the role of the Eshelby tensor, and recovers the classical theory for isotropic materials using material symmetry arguments. Also developed are the equations of classical slip-line theory for plane-strain deformations.

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14

Anand, Lallit, and Sanjay Govindjee. Continuum Mechanics of Solids. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.001.0001.

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Continuum mechanics of Solids presents a unified treatment of the major concepts in Solid Mechanics for beginning graduate students in the many branches of engineering. The fundamental topics of kinematics in finite and infinitesimal deformation, mechanical and thermodynamic balances plus entropy imbalance in the small strain setting are covered as they apply to all solids. The major material models of Elasticity, Viscoelasticity, and Plasticity are detailed and models for Fracture and Fatigue are discussed. In addition to these topics in Solid Mechanics, because of the growing need for engineering students to have a knowledge of the coupled multi-physics response of materials in modern technologies related to the environment and energy, the book also includes chapters on Thermoelasticity, Chemoelasticity, Poroelasticity, and Piezoelectricity. A preview to the theory of finite elasticity and elastomeric materials is also given. Throughout, example computations are presented to highlight how the developed theories may be applied.

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15

Oertel, Gerhard. Stress and Deformation. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195095036.001.0001.

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Students of geology who may have only a modest background in mathematics need to become familiar with the theories of stress, strain, and other tensor quantities, so that they can follow, and apply to their own research, developments in modern, quantitative geology. This book, based on a course taught by the author at UCLA, can provide the proper introduction. Included throughout the eight chapters are 136 complex problems, advancing from vector algebra in standard and subscript notations, to the mathematical description of finite strain and its compounding and decomposition. Fully worked solutions to the problems make up the largest part of the book. With their help, students can monitor their progress, and geologists will be able to utilize subscript and matrix notations and formulate and solve tensor problems on their own. The book can be successfully used by anyone with some training in calculus and the rudiments of differential equations.

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16

Besdo, D. Finite Inelastic Deformations: Theory and Applications: Iutam Symposium, Hannover, Germany, 1991 (IUTAM Symposia). Springer, 1992.

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17

Besdo, D. Finite Inelastic Deformations: Theory and Applications : Iutam Symposium, Hannover, Germany, 1991 (I U T a M - Symposien). Springer, 1992.

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18

Hrushovski, Ehud, and François Loeser. The main theorem. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0011.

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This chapter introduces the main theorem, which states: Let V be a quasi-projective variety over a valued field F and let X be a definable subset of V x Γ‎superscript Script Small l subscript infinity over some base set V ⊂ VF ∪ Γ‎, with F = VF(A). Then there exists an A-definable deformation retraction h : I × unit vector X → unit vector X with image an iso-definable subset definably homeomorphic to a definable subset of Γ‎superscript w subscript Infinity, for some finite A-definable set w. The chapter presents several preliminary reductions to essentially reduce to a curve fibration. It then constructs a relative curve homotopy and a liftable base homotopy, along with a purely combinatorial homotopy in the Γ‎-world. It also constructs the homotopy retraction by concatenating the previous three homotopies together with an inflation homotopy. Finally, it describes a uniform version of the main theorem with respect to parameters.

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19

Hrushovski, Ehud, and François Loeser. Applications to the topology of Berkovich spaces. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0014.

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This chapter presents various applications to the topology of classical Berkovich spaces. It deduces from the main theorem several new results on the topology of V(superscript an) which were not known previously in such a level of generality. In particular, it shows that V(superscript an) admits a strong deformation retraction to a subspace homeomorphic to a finite simplicial complex and that V(superscript an) is locally contractible. The chapter also proves the existence of strong retractions to skeleta for analytifications of definable subsets of quasi-projective varieties and goes on to prove finiteness of homotopy types in families in a strong sense and a result on homotopy equivalence of upper level sets of definable functions. Finally, it describes an injection in the opposite direction (over an algebraically closed field) which in general provides an identification between points of Berkovich analytifications and Galois orbits of stably dominated points.

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