IsisCB Explore

Article ID: CBB001022006

From Classical to Voigt's Molecular Models in Elasticity (2010)

Capecchi, Danilo (Author)
Ruta, Giuseppe C. (Author)
Trovalusci, Patrizia (Author)

Archive for History of Exact Sciences
Volume: 64
Pages: 525--559

Outside Links

WorldCat

Google Scholar

JSTOR

Academia.edu

Atomism Physics Molecular structure Elasticity 19th century Voigt, Woldemar Cauchy, Augustin Louis Poisson, Siméon Denis Green, George

In the first decades of the nineteenth century the French mechanicians---Cauchy and Poisson amongst them---developed a theory of linear elasticity according to which matter is composed of material points. They believed that these points interact by means of opposite central forces, whose magnitude depends on the length of the segment joining the particles. This theory suggested that homogeneous isotropic materials were characterized by a unique elastic constant. Later experiments, however, showed that two elastic constants were necessary. These results undermined the corpuscular model of matter as well as the interpretation of elasticity in terms of central intermolecular actions. The continuous theory of Green, based on the postulate that a potential function exists, gained fresh consensus in light of these experiments. These opposite views continued throughout the nineteenth century until Woldemar Voigt proposed a molecular model confirmed by experiments. This article presents the theories of each of these scientists and describes the contrasting views of nineteenth-century mechanicians.

...More

Citation URI

https://data.isiscb.org/isis/citation/CBB001022006/

Citations Indexes

Similar Citations

Article Capecchi, Danilo; Ruta, Giuseppe C.; (2007)
Piola's Contribution to Continuum Mechanics (/isis/citation/CBB000772558/)

Chapter Dahan Dalmedico, Amy; (1989)
La propagation des ondes en eau profonde et ses développements mathématiques: Poisson, Cauchy, 1815-1825 (/isis/citation/CBB000057514/)

Article Katzir, Shaul; (2003)
Measuring Constants of Nature: Confirmation and Determination in Piezoelectricity (/isis/citation/CBB000340863/)

Article Katzir, Shaul; (2003)
From Explanation to Description: Molecular and Phenomenological Theories of Piezoelectricity (/isis/citation/CBB000700631/)

Article Rowlinson, J. S.; (2010)
James Joule, William Thomson and the Concept of a Perfect Gas (/isis/citation/CBB001022700/)

Book Katzir, Shaul; (2006)
The Beginnings of Piezoelectricity: A Study in Mundane Physics (/isis/citation/CBB000775254/)

Article José Ángel Roldán Casas; (2021)
El reconocimiento del mérito científico a través de la historia de algunos de los epónimos estadísticos más relevantes: ¿Se verifica la ley de Stigler? (/isis/citation/CBB844603043/)

Article Frisch, Uriel; Villone, Barbara; (2014)
Cauchy's Almost Forgotten Lagrangian Formulation of the Euler Equation for 3D Incompressible Flow (/isis/citation/CBB001421685/)

Article Guzzardi, Luca; (2005)
Masse, moti nascosti, etere e spazio nella mechanica hertziana (/isis/citation/CBB000701077/)

Book Kubbinga, Henk; (2005)
De molecularisering van het wereldbeeld (/isis/citation/CBB000700797/)

Article Klodian Coko; (2015)
Epistemology of a Believing Historian: Making Sense of Duhem's Anti-Atomism (/isis/citation/CBB386493933/)

Book Maas, A. J. P.; (2001)
Atomisme en individualisme: De Amsterdamse natuurkunde tusen 1877 en 1940 (/isis/citation/CBB000101548/)

Article Grossman, Mark I.; (2014)
John Dalton and the London Atomists: William and Bryan Higgins, William Austin, and New Daltonian Doubts about the Origin of the Atomic Theory (/isis/citation/CBB001421517/)

Article Chalmers, Alan F.; (2008)
Atom and Aether in Nineteenth-Century Physical Science (/isis/citation/CBB000930624/)

Article Yi, De-gang; Zhao, Xinli; Qi, Zhongying; (2005)
A Further Inquiry into Mechanical Performance of Chinese Bow and Zheng Xuan's Law of Elasticity (/isis/citation/CBB000630887/)

Chapter Giuseppe Fera; (2016)
Thomas Young: una stima delle dimensioni atomiche nel primo ’800 (/isis/citation/CBB773097581/)

Article Zwier, Karen R.; (2011)
Dalton's Chemical Atoms versus Duhem's Chemical Equivalents (/isis/citation/CBB001230050/)

Article Schirrmacher, Arne; (2003)
Planting in his Neighbor's Garden: David Hilbert and Early Göttingen Quantum Physics (/isis/citation/CBB000641699/)

Book Cannell, Doris M.; (2002)
George Green: Mathematician & Physicist, 1793-1841: The Background to His Life and Work (/isis/citation/CBB000201793/)

Book Kubbinga, Henk; (2002)
L'histoire du concept de “molécule” (/isis/citation/CBB000301851/)

Comments

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}