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Zeitschrift

Journal of Elasticity

The Physical and Mathematical Science of Solids

Journal of Elasticity OnlineFirst articles

31.10.2018

Effective Shear Modulus of Functionally Graded Fibrous Composites in Second Strain Gradient Elasticity

In this study, Mindlin’s second strain gradient elasticity is employed to extract an estimate of the effective shear modulus of a functionally graded (FG) unidirectional fibrous composite subjected to an anti-plane mode of loading. The composite …

30.10.2018

Material Geometry

Walter Noll’s trailblazing constitutive theory of material defects in smoothly uniform bodies is recast in the language of Lie groupoids and their associated Lie algebroids. From this vantage point the theory is extended to non-uniform bodies by …

30.10.2018

Existence of Solitary Waves in One Dimensional Peridynamics

We give a rigorous proof of existence for solitary waves of a peridynamics model in one space dimension recently investigated by Silling (J. Mech. Phys. Solids 96:121–132, 2016). We adapt the variational framework developed by Friesecke and Wattis …

30.10.2018

On Commutativity and Near Commutativity of Translational and Rotational Averages: Analytical Proofs and Numerical Examinations

We show that, in general, the translational average over a spatial variable—discussed by Backus (J. Geophys. Res. 67(11):4427–4440, 1962), and referred to as the equivalent-medium average—and the rotational average over a symmetry group at a …

30.10.2018 Open Access

A Personal Appreciation of Walter Noll

Walter Noll is personally acknowledged to have been an inspirational teacher and an exemplar in his analysis of fundamental concepts and relations in Continuum Mechanics. Attention is drawn to unfounded criticisms of two aspects of his work and …

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Über diese Zeitschrift

The main purpose of the Journal of Elasticity is to report original and significant discoveries in elasticity, in the form of full research papers, research notes and well-documented historical essays. Materials which will prove effective in teaching appear as classroom notes. The journal provides a forum for original contributions in the physical and mathematical science of solids and in the broader areas of mechanics, mechanics of materials, and engineering sciences that have a bearing on developments in elasticity. The Journal of Elasticity was founded in 1971 by Marvin Stippes.

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