A unifying perspective: the relaxed linear micromorphic continuum
We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy
force stresses and curvature contribution depending only on the micro-dislocation tensor …
force stresses and curvature contribution depending only on the micro-dislocation tensor …
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps
In this paper, the relaxed micromorphic model proposed in Ghiba et al.(Math Mech Solids,
2013), Neff et al.(Contin Mech Thermodyn, 2013) has been used to study wave propagation …
2013), Neff et al.(Contin Mech Thermodyn, 2013) has been used to study wave propagation …
[HTML][HTML] Mechanical characterization of hyperelastic polydimethylsiloxane by simple shear test
LCS Nunes - Materials Science and Engineering: A, 2011 - Elsevier
Polydimethylsiloxane (PDMS) is a commercially silicone rubber widely used in mechanical
sensors, electronic products and medical devices. This paper describes and analyzes the …
sensors, electronic products and medical devices. This paper describes and analyzes the …
Localization in anisotropic elastoplastic micropolar media: Application to fiber reinforced composites
AD Hasanyan, AM Waas - Journal of the Mechanics and Physics of Solids, 2018 - Elsevier
In this paper, an anisotropic elastoplastic constitutive model is formulated for fiber reinforced
composites, undergoing large geometric deformation. The composite material is modeled as …
composites, undergoing large geometric deformation. The composite material is modeled as …
The relaxed linear micromorphic continuum: well-posedness of the static problem and relations to the gauge theory of dislocations
We consider the equilibrium problem in the relaxed linear model of micromorphic elastic
materials. The basic kinematical fields of this extended continuum model are the …
materials. The basic kinematical fields of this extended continuum model are the …
Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus
We present an approach to the coupling of mixed-dimensional continua by employing the
mathematically enriched linear Cosserat micropolar model. The kinematical reduction of the …
mathematically enriched linear Cosserat micropolar model. The kinematical reduction of the …
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 generalized continuum models …
continuum, we consider a family of infinitesimal isotropic generalized continuum models …
Fourth-order tensor algebraic operations and matrix representation in continuum mechanics
This paper presents a system of cyclic tensor algebra for operations involving fourth-order
tensors. The advantages are that the system is objectively and consistently defined in three …
tensors. The advantages are that the system is objectively and consistently defined in three …
A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms
The unitary polar factor Q=U_p in the polar decomposition of Z=U_p\,H is the minimizer over
unitary matrices Q for both ‖\rmLog(Q^*Z)‖^2 and its Hermitian part ‖\rmsym__*\!(\rmLog …
unitary matrices Q for both ‖\rmLog(Q^*Z)‖^2 and its Hermitian part ‖\rmsym__*\!(\rmLog …
Transversely isotropic material: nonlinear Cosserat versus classical approach
We consider a specific case of unidirectional reinforced material under applied tensile load.
The reinforcement of the material is inclined with 45° to the direction of the tensile resultant …
The reinforcement of the material is inclined with 45° to the direction of the tensile resultant …