On Invariants of the Stress�Strain State in Mathematical Models for Mechanics of Continua

Shemyakin, E. I.
August 2000
Doklady Physics;Aug2000, Vol. 45 Issue 8, p419
Academic Journal
Discusses the invariants of the stress-strain state in mathematical models for mechanics of continua. Values of the stress tensor; Role of ares with tangential stresses; Ordered block structures in massifs.


Related Articles

  • Equations of the Dynamic Problem of Thermoelasticity in Stresses in a Three-Orthogonal Coordinate System. Musii, R.; Stasyuk, H. // Materials Science;Jan2005, Vol. 41 Issue 1, p74 

    By using the system of source equations including the equations of motion, Cauchy relations, generalized Hooke’s law, and Saint-Venant compatibility equations for strains, we deduce the system of defining equations for the dynamic problem of thermoelasticity in stresses in an arbitrary...

  • Effect of rotation on micropolar generalized thermoelasticity with two temperatures using a dual-phase lag model. Othman, Mohamed I.A.; Hasona, W.M.; Abd-Elaziz, Elsayed M. // Canadian Journal of Physics;Feb2014, Vol. 92 Issue 2, p149 

    In the present paper, we introduce the dual-phase lag theory to study the effect of the rotation on a two-dimensional problem of micropolar thermoelastic isotropic medium with two temperatures. A normal mode method is proposed to analyze the problem and obtain numerical solutions for the...

  • Modeling of stress distribution in granular piles: Comparison with centrifuge experiments. Modaressi, A.; Boufellouh, S.; Evesque, P. // Chaos;Sep99, Vol. 9 Issue 3, p523 

    Deals with a method for computing stress and strain distributions in granular materials. Utilization of continuum mechanics approach; Prediction of stress field distribution below a conic and a triangular pile; Dependence of the stress distribution on the rheological law.

  • Axisymmetric thermoviscoelastoplastic state of thin flexible shells with damages. Galishin, A. Z. // International Applied Mechanics;Feb2008, Vol. 44 Issue 2, p158 

    The paper presents a technique to determine the axisymmetric geometrically nonlinear thermoviscoelastoplastic state of thin shells with damages. The technique is based on the geometrically nonlinear equations that incorporate transverse-shear strains. The equations of thermoelasticity that...

  • Functional grading of rubber tubes within the context of a molecularly inspired finite thermoelastic model. Bilgili, E. // Acta Mechanica;2004, Vol. 169 Issue 1-4, p79 

    Summary. The concept of functional grading is applied to rubber-like materials within the framework of finite thermoelasticity. A phenomenological stress-strain relation is proposed to account for the finite chain extensibility, the entropic origin for the stress, as well as the graded nature of...

  • Quantum mechanical predictions of nonscalar equations of state and nonmonotonic elastic stress-strain relations. Swift, Damian C.; Ackland, Graeme J. // Applied Physics Letters;8/11/2003, Vol. 83 Issue 6, p1151 

    In continuum mechanics, the isotropic part of the stress deviator (mean pressure) is routinely assumed to depend on the isotropic part of the strain deviator (compression). This assumption was tested using ab initio quantum mechanical calculations of elastic stress as a function of elastic...

  • Laser Photoacoustic Imaging of Inhomogeneous Objects. Muratikov, K.L. // Technical Physics Letters;Nov2004, Vol. 30 Issue 11, p956 

    The process of photoacoustic response formation in inhomogeneous objects is analyzed. In a quasi-static case, the photoacoustic image is formed predominantly due to inhomogeneities in the thermoelastic coupling coefficient. Expressions describing thermoelastic strains in an inhomogeneous object...

  • Fracture toughness of nanostructured silicon carbide. Ippolito, M.; Mattoni, A.; Colombo, L.; Cleri, F. // Applied Physics Letters;10/3/2005, Vol. 87 Issue 14, p141912 

    By using atomistic simulations, we derive a constitutive equation for a microfractured β-SiC matrix containing hard or soft inclusions. The proposed equation is shown to follow the Eshelby theory for elastic inclusions, and appears to hold for any crack tip-inclusion distance and for a wide...

  • Eshelby's formula for an ellipsoidal elastic inclusion in anisotropic poroelasticity and thermoelasticity. Levin, Valery M.; Alvarez-Tostado, Juan M. // International Journal of Fracture;Mar2003, Vol. 119 Issue 4, pL79 

    Eshelby's formula that relates the strain inside of an ellipsoidal inclusion in an unbounded elastic medium to the uniform strain imposed at infinity is generalized to the cases of poroelastic and thermoelastic materials. This result holds for an arbitrary anisotropy of the inclusion and of the...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics