Linear Theories of Elasticity and Thermoelasticity
Author: Clifford Truesdell
Publisher: Springer
Published: 2013-12-17
Total Pages: 755
ISBN-13: 3662397765
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Author: Clifford Truesdell
Publisher: Springer
Published: 2013-12-17
Total Pages: 755
ISBN-13: 3662397765
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1984
Total Pages:
ISBN-13: 9780387055350
DOWNLOAD EBOOKAuthor: C. Truesdell
Publisher: Springer
Published: 1984-06-01
Total Pages: 0
ISBN-13: 9783540131618
DOWNLOAD EBOOKReissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
Author: C. Truesdell
Publisher: Springer
Published: 1972-09-28
Total Pages: 0
ISBN-13: 9783540055358
DOWNLOAD EBOOKReissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
Author: C. Truesdell
Publisher: Springer
Published: 1972
Total Pages: 0
ISBN-13: 9783642695674
DOWNLOAD EBOOKReissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
Author: C. Truesdell
Publisher: Springer
Published: 1972-09-28
Total Pages: 745
ISBN-13: 9783540055358
DOWNLOAD EBOOKReissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of NAVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[ s] . . . or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.
Author: Albert Edward Green
Publisher:
Published: 1969
Total Pages: 81
ISBN-13:
DOWNLOAD EBOOKA detailed development of nonlinear thermodynamical theories of rods and shells is discussed using the three dimensional theory of classical continuum mechanics as a starting point. A portion of the paper supplements and amplifies the previous work on the subject by Green, Laws and Naghdi. Special attention is given to non-isothermal linear theories of elastic shells and straight elastic rods which are derived from the three dimensional equations. (Author).
Author: Clifford Truesdell
Publisher: Springer
Published: 1984
Total Pages: 772
ISBN-13:
DOWNLOAD EBOOKAuthor: Albert Edward Green
Publisher:
Published: 1967
Total Pages: 78
ISBN-13:
DOWNLOAD EBOOKNon-linear thermodynamical theories of rods and shells are discussed using the three dimensional theory of classical continuum mechanics as a starting point. The three dimensional theory is reduced to a two dimensional theory for a shell, or plate, and a one dimensional theory for a rod by employing an exact expansion for the displacement but an approximation for the temperature. For elastic rods and shells a method of approximation is suggested which brings the respective theories into correspondence with those of Green and Laws and Green, Naghdi and Wainwright. (Author).
Author: Holm Altenbach
Publisher: Springer
Published: 2017-04-02
Total Pages: 460
ISBN-13: 3319560506
DOWNLOAD EBOOKThis book shows impressively how complex mathematical modeling of materials can be applied to technological problems. Top-class researchers present the theoretical approaches in modern mechanics and apply them to real-world problems in solid mechanics, creep, plasticity, fracture, impact, and friction. They show how they can be applied to technological challenges in various fields like aerospace technology, biological sciences and modern engineering materials.