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Solid Mechanics at Harvard University

SOLID MECHANICS. James R. Rice. School of Engineering and Applied Sciences, and Department of Earth and Planetary Sciences. Harvard University, Cambridge, MA 02138 ... The entire subject is often called continuum .... first to relate the theory of a beam as a bent elastic line to stress and strain in an actual beam, in a.


The method of virtual power in continuum mechanics: Application to

Mar 6, 1978 ... Using as main tools the principle of virtual power — in the form recently favored by French mechanicians - and continuum thermodynamics, this work of a synthetic nature develops in a “rational” manner and from a unified viewpoint the fully dynamical (albeit not relativistic) theory of electromagnetic continua ...


Fundamental aspects of dislocation theory: A conference report with

follows: 1) Discrete Dislocations in Continuum Elasticity. Chairmen: J. D. Eshelby and R. deWit. 2) Lattice Theories. Chairman: R. Bullough. 3) Dislocation-Phonon ..... between the ideas of dislocation theory and modern continuum mechanics? 3 ) What is the future for lattice calculations? a) static theories b) dynamic theories.


Curriculum Vitae

William Prager Medal (for outstanding research contributions in theoretical solid mechanics), Society of Engineering Science, 2015. James F. Bell Memorial Lecture in Continuum Mechanics, Johns Hopkins. University, 2015. Martin & Lucinda Glicksman Seminar Series, Mechanical & Aerospace. Engineering Department ...


Coordinateinvariant phase field modeling of ferroelectrics, part I

Mar 11, 2015 ... 1 Technische Universität Kaiserslautern, Institute of Applied Mechanics, Department of ... 2 Phase field model. The current model is founded on the theory of deformable electromagnetic bodies. Textbooks on this general topic include e.g. MAUGIN [17] ... 2.1 Basic equations and thermodynamical framework.


Download Book (PDF, 12101 KB)

The scope of the series covers the entire spectrum of solid mechanics. Thus it in- cludes the foundation of mechanics; variational formulations; computational mech- anics; statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, ...


Numerical analysis of two frictionless elastic-piezoelectric contact

Jul 27, 2007 ... In this work, we consider two frictionless contact problems between an elastic- piezoelectric body and an obstacle. The linear .... where f 0 is the density of the body forces acting in Ω and q0 is the volume density of free electric charges. ...... [ 26] R.A. Toupin, A dynamical theory of elastic dielectrics, Internat.


Electromagnetic Field Matter Interactions in Thermoelastic Solids

J.B. Alblas: General Theory of Electro- and Magneto-Elasticity, in Electro- magnetic ... M. Born and K. Huang: Dynamical Theory of Crystal Lattices, Oxford Press,. (1954) ... Continuum. Int. J. Solids Structures, 9, 1439–1464, (1973). 32. Jr .W.F. Brown: Magnetoelastic Interactions Springer Tracts in Natural Phi- losophy Vol.



48. J. W. Steeds and J. R. Willis, “Dislocations in Anisotropic Media”, Chapter 2 of Dislocations in. Solids, Vol. 1. The Elastic Theory, edited by F.R.N. Nabarro, ... Proceedings of the XVth International Congress of Theoretical and Applied Mechanics, edited by F.P.J. .... Materials”, Continuum Models and Discrete Systems, Vol.


Atomistic viewpoint of the applicability of microcontinuum theories

classical continuum mechanics at macroscale. ... microcontinuum theories from the atomistic viewpoint of lattice dynamics and molecular dynamics. 2. Applicability analyses from the viewpoint of dynamics of atoms in .... For isotropic elastic solids the stress–strain relations of Micromorphic theory are written as ( Chen and.


Nonlinear Mechanics of Crystals (PDF Download Available)

cludes the foundation of mechanics; variational formulations; computational mech-. solids and structures; dynamical systems and chaos; the theories of elasticity, plas-. The median level of presentation is the first ... solids following theoretical methods of modern continuum mechanics. Emphasis is placed on ge ometrically ...


A piezoelectric contact problem with slip dependent coefficient of

theory of electroelasticity. Their bases ... value problems with elastic materials and slip dependent friction were considered in. [3, 6] in ... 2. Problem Statement. We consider the following physical setting. An elastic piezoelectric body occupies a bounded domain Ω ⊂ IRd, d = 2, 3 with a smooth boundary ∂Ω = Γ. The body is.


Multi-scale concrete model-Arp

Feb 20, 2016 ... I. Giorgio, D. Scerrato – International Research Center for the Mathematics and Mechanics of .... friction force and a proper macroscopic variable, ii) dynamic friction models in which the friction force .... continuum theory (many examples of such an approach can be found in the literature, see e.g. [82,.


Publications du Groupe "Mécanique des matériaux et structures"

Solids and Structures, vol.51 (6), 1208-1220, 2014. 2. S. Atlati, B. Haddag, M. Nouari and M. Zenasni, Thermomechanical modelling of the tool-workmaterial ... woven structures accounting for yarn-yarn contact based on Hertz theory and ... volumetric material growth, Archive of Applied Mechanics, vol.84 (9-11), 1357-. 1371 ...


Designing Microstructure to Deliver Targeted Macroscale Response

Mar 7, 2016 ... observed in Sec. 1, determine the most appropriate set of hypothe- ses to be assumed as a foundation for the theoretical construction of mechanics. ... sion statement. 3.1 Physical Modeling. This approach consists of conjectur- ing, by means of physical intuition and experience, the structure. 060804-2 / Vol.


Curriculum Vitae Graeme Milton Degrees Academic and

Inaugural Fellow Society for Industrial and Applied Mathematics (SIAM) \For contributions to the modeling and analysis of composite materials". 2009. Issue of Mechanics of Materials in my honor, Volume 41, Issue 4. 2007. Society for Engineering Science Prager Medal for contributions to theoretical mechanics ( awarded to ...


Download book PDF

SOLID MECHANICS AND ITS APPLICATIONS. Volume 137. Series Editor: G.M.L. GLADWELL. Department of Civil Engineering. University of Waterloo. Waterloo, Ontario ... structures; dynamical systems and chaos; the theories of elasticity, plasticity and ... Analysis and Continuum Topology Optimization of Periodic Solids.



in superconductors; mechanics of carbon nanotubes and graphene; continuum theories of phase segregation by atomic ... ii. Catania, Sept-Oct 1977; iii. Ravello, Sept 1981; iv. Ravello, Sept 1993). - Lecturer at the International Center for Theoretical Physics, IAEA-UNESCO, Trieste. (i. Oct-Nov 1976; ii. Dec 1977). 1 ...


Prof. Dr. Ing. Marco Paggi

DYSCO (Dynamical Systems, Control and Optimization) of the IMT School for Advanced Studies. Lucca, Italy. ... involving fracture and instabilities in elastic and inelastic solids and structures, conferred by. Università degli Studi di ... Italian Association of Theoretical and Applied Mechanics (AIMETA). • From 01/11/2016 to ...



techniques and results from electromagnetic theory and continuum mechanics. ... General models for elastic materials with piezoelectric effects can ... We model the material behavior with an electro elastic-viscoplastic constitutive law with damage and the contact is frictional and bilateral with a mov- ing rigid foundation.