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Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
We derive analytical solutions for the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua. These...
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Green’s functions and integral representation of generalized continua: the case of orthogonal pantographic lattices
This paper shows how the classical representation techniques for the solution of elasticity problems, based on the Green’s functions, can be...
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Analytical solutions of the simple shear problem for micromorphic models and other generalized continua
To draw conclusions as regards the stability and modelling limits of the investigated continuum, we consider a family of infinitesimal isotropic...
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Numerical Algorithms in Mechanics of Generalized Continua
We study from a numerical point of view the solution of the system of partial differential equations arising in the theory of isotropic dipolar...
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Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua
We develop a goal-oriented finite element method for a class of micromorphic hyperelasticity problems, where size effects are taken into account by...
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New insights on homogenization for hexagonal-shaped composites as Cosserat continua
In this work, particle composite materials with different kind of microstructures are analyzed. Such materials are described as made of rigid...
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CG-enriched concurrent multi-scale modeling of dynamic surface interactions between discrete particles and solid continua
The interaction between granular materials and deformable structures is relevant to many industries, such as mining, construction, and powder...
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Analysis of transmission and reflection characteristics of linear plane waves in pantographic lattices
In this paper, linear wave propagation in pantographic lattices is investigated. It is assumed that the pantographic lattice is attached to a...
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Disturbances in a Generalized Thermoelastic Half-Space with Voids and Microtemperatures Due to a Mechanical Force
The two-dimensional deformation of a generalized thermoelastic half-space with voids and microtemperatures under the action of a mechanical force was...
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Integral Eshelby’s Formulas for Generalized Continuum and Couple-Field Theories
Classical Eshelby’s formulas are generalized assuming that the stored energy density of the media depends on the arbitrary number of internal...
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A Mathematical Model for the Deformation Problem in a Generalized Thermoelastic Medium Under Modified Green–Lindsay Model
The objective of this study is to examine the effect of non-local and hyperbolic two-temperature parameters on the thermostressed state using the...
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The Effect of Diffusion and Microconcentration on Plane Waves in a Generalized Thermoelastic Material
The governing equations for a linear, isotropic, homogeneous, thermoelastic material with diffusion and microconcentration in a plane have been...
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Identification of material parameters in low-data limit: application to gradient-enhanced continua
Due to the growing trend towards miniaturization, small-scale manufacturing processes have become widely used in various engineering fields to...
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On a certain class of one step temporal integration methods for standard dissipative continua
A class of isothermal dissipative continua being often referred to as “standard dissipative” is considered. The initial boundary value problem...
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Hellinger’s 1913 Encyclopedia Article on the Fundamentals of the Mechanics of Continua
This chapter contains a side-by-side translation from German to English of E. Hellinger’s fundamental review article “Die allgemeinen Ansätze der...
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A fatigue-resistance topology optimization formulation for continua subject to general loads using rainflow counting
Currently, fatigue-resistance topology optimization has received ever increasing attention, in which most of the literature considers this issue as a...
