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## Acta Mechanica OnlineFirst articles

19-02-2019 | Original Paper

### An acoustic model of a Helmholtz resonator under a grazing turbulent boundary layer

Acoustic models of resonant duct systems with turbulent flow depend on fitted constants based on expensive experimental test series. We introduce a new model of a resonant cavity, flush mounted in a duct or flat plate, under grazing turbulent …

19-02-2019 | Note

### Effective wear coefficient and wearing-in period for a functionally graded wear-resisting punch

A two-dimensional wear contact problem for an elastic layer and a wear-resisting punch is considered. The contact area and the contact load are assumed to be fixed, whereas the punch’s shape changes according to Archard’s law of wear with variable …

19-02-2019 | Original Paper

### Dynamic analysis of a simply supported beam with LaSMP patches

Light-activated shape memory polymer (LaSMP) is a novel smart material, whose stiffness can be tuned by irradiating with UV light. By changing the Young’s modulus of LaSMP patches, the natural frequency of a simply supported beam laminated with …

19-02-2019 | Original Paper Open Access

### Geometrically exact shell theory from a hierarchical perspective

A hierarchic approach for the derivation of an infinite series of nonlinear $$\ell$$ ℓ th-order shell theories from three-dimensional continuum mechanics based on a polynomial series expansion of the displacement field is recapitulated. Imposing …

19-02-2019 | Original Paper

### On fractional and fractal formulations of gradient linear and nonlinear elasticity

In this paper, we consider extensions of the gradient elasticity models proposed earlier by the second author to describe materials with fractional non-locality and fractality using the techniques developed recently by the first author. We derive …