An essay on deformation measures in isotropic thin shell theories: Bending versus curvature.
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- Mathematics & Mechanics of Solids, 2025, v. 30, n. 6, p. 1393, doi. 10.1177/10812865241269725
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Works by Neff, Patrizio
Results: 117
1
2
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach.
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- Mathematics & Mechanics of Solids, 2023, v. 28, n. 10, p. 2177, doi. 10.1177/10812865221137286
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- Article
3
Simple shear in nonlinear Cosserat micropolar elasticity: Existence of minimizers, numerical simulations, and occurrence of microstructure.
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- Mathematics & Mechanics of Solids, 2023, v. 28, n. 7, p. 1576, doi. 10.1177/10812865221122191
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- Article
4
Boundary and interface conditions in the relaxed micromorphic model: Exploring finite-size metastructures for elastic wave control.
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- Mathematics & Mechanics of Solids, 2022, v. 27, n. 6, p. 1053, doi. 10.1177/10812865211048923
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- Article
5
Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations).
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- Mathematics & Mechanics of Solids, 2022, v. 27, n. 3, p. 507, doi. 10.1177/10812865211023530
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- Article
6
The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of 'Strain tensor, strain deviator and stress tensor for finite deformations'.
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- Mathematics & Mechanics of Solids, 2020, v. 25, n. 5, p. 1060, doi. 10.1177/1081286519880594
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- Article
7
A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner's incompatibility tensor.
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- Mathematics & Mechanics of Solids, 2020, v. 25, n. 2, p. 129, doi. 10.1177/1081286519845026
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- Article
8
Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvature.
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- Mathematics & Mechanics of Solids, 2019, v. 24, n. 12, p. 4000, doi. 10.1177/1081286519856061
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- Article
9
Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamics.
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- Mathematics & Mechanics of Solids, 2019, v. 24, n. 10, p. 3200, doi. 10.1177/1081286519838311
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- Article
10
A commented translation of Hans Richter's early work "The isotropic law of elasticity".
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- Mathematics & Mechanics of Solids, 2019, v. 24, n. 8, p. 2649, doi. 10.1177/1081286519847495
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- Article
11
Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: New perspectives towards metastructural design.
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- Mathematics & Mechanics of Solids, 2018, v. 23, n. 12, p. 1485, doi. 10.1177/1081286517728423
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- Article
12
Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations.
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- Mathematics & Mechanics of Solids, 2018, v. 23, n. 4, p. 606, doi. 10.1177/1081286516682556
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- Article
13
Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropy.
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- Mathematics & Mechanics of Solids, 2018, v. 23, n. 1, p. 3, doi. 10.1177/1081286516666134
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- Article
14
A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions.
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- Mathematics & Mechanics of Solids, 2017, v. 22, n. 6, p. 1221, doi. 10.1177/1081286515625535
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- Article
15
Rediscovering GF Becker’s early axiomatic deduction of a multiaxial nonlinear stress–strain relation based on logarithmic strain.
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- Mathematics & Mechanics of Solids, 2016, v. 21, n. 7, p. 856, doi. 10.1177/1081286514542296
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- Article
16
The relaxed linear micromorphic continuum: Existence, uniqueness and continuous dependence in dynamics.
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- Mathematics & Mechanics of Solids, 2015, v. 20, n. 10, p. 1171, doi. 10.1177/1081286513516972
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- Article
17
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations.
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- Mathematics & Mechanics of Solids, 2014, v. 19, n. 4, p. 376, doi. 10.1177/1081286512466659
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- Article
18
On the convexity of the function C ↦ f(det C) on positive-definite matrices.
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- Mathematics & Mechanics of Solids, 2014, v. 19, n. 4, p. 369, doi. 10.1177/1081286512466099
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- Article
19
A viscoelastic thin rod model for large deformations: Numerical examples.
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- Mathematics & Mechanics of Solids, 2011, v. 16, n. 8, p. 887, doi. 10.1177/1081286511407113
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- Article
20
Existence and Uniqueness for Rate-Independent Infinitesimal Gradient Plasticity with Isotropic Hardening and Plastic Spin.
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- Mathematics & Mechanics of Solids, 2010, v. 15, n. 6, p. 691, doi. 10.1177/1081286509342269
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- Article
21
Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions.
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- Mathematics & Mechanics of Solids, 2010, v. 15, n. 1, p. 78, doi. 10.1177/1081286508093581
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- Article
22
On the generalised sum of squared logarithms inequality.
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- Journal of Inequalities & Applications, 2015, v. 2015, n. 1, p. 1, doi. 10.1186/s13660-015-0623-6
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- Article
23
The Legendre–Hadamard condition in Cosserat elasticity theory.
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- Quarterly Journal of Mechanics & Applied Mathematics, 2020, v. 73, n. 4, p. 293, doi. 10.1093/qjmam/hbaa013
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- Article
24
EXISTENCE RESULT FOR A DISLOCATION BASED MODEL OF SINGLE CRYSTAL GRADIENT PLASTICITY WITH ISOTROPIC OR LINEAR KINEMATIC HARDENING.
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- Quarterly Journal of Mechanics & Applied Mathematics, 2018, v. 71, n. 1, p. 99, doi. 10.1093/qjmam/hbx026
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- Article
25
MINIMAL GEODESICS ON GL(n) FOR LEFT-INVARIANT, RIGHT-O(n)-INVARIANT RIEMANNIAN METRICS.
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- Journal of Geometric Mechanics, 2016, v. 8, n. 3, p. 323, doi. 10.3934/jgm.2016010
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- Article
26
L <sup> p </sup>-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2022, v. 152, n. 6, p. 1477, doi. 10.1017/prm.2021.62
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- Article
27
A rank-one convex, nonpolyconvex isotropic function on $\textrm {GL}^{\!+}(2)$ with compact connected sublevel sets.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2022, v. 152, n. 2, p. 356, doi. 10.1017/prm.2021.9
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- Article
28
Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2020, v. 150, n. 5, p. 2620, doi. 10.1017/prm.2019.35
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- Article
29
Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2017, v. 147, n. 3, p. 571, doi. 10.1017/S0308210516000275
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30
Existence of minimizers for a finite-strain micromorphic elastic solid.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2006, v. 136, n. 5, p. 997, doi. 10.1017/S0308210500004844
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- Article
31
Infinitesimal elastic–plastic Cosserat micropolar theory. Modelling and global existence in the rate-independent case.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2005, v. 135, n. 5, p. 1017, doi. 10.1017/S0308210505000533
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32
Infinitesimal elastic–plastic Cosserat micropolar theory. Modelling and global existence in the rate-independent case.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2005, v. 135, n. 5, p. 1017, doi. 10.1017/S030821050000425X
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33
On Korn's first inequality with non-constant coefficients.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2001, v. 132, n. 1, p. 221, doi. 10.1017/S0308210500001591
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34
Regularity for a geometrically nonlinear flat Cosserat micropolar membrane shell with curvature.
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- Annales de l'Institut Henri Poincaré C, 2025, v. 42, n. 1, p. 163, doi. 10.4171/AIHPC/108
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- Article
35
A polyconvex extension of the logarithmic Hencky strain energy.
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- Analysis & Applications, 2019, v. 17, n. 3, p. 349, doi. 10.1142/S0219530518500173
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- Article
36
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters.
- Published in:
- Continuum Mechanics & Thermodynamics, 2022, v. 34, n. 6, p. 1393, doi. 10.1007/s00161-022-01126-3
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- Article
37
Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continua.
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- Continuum Mechanics & Thermodynamics, 2021, v. 33, n. 4, p. 1505, doi. 10.1007/s00161-021-00984-7
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38
A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vector.
- Published in:
- Continuum Mechanics & Thermodynamics, 2019, v. 31, n. 5, p. 1477, doi. 10.1007/s00161-019-00755-5
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- Article
39
The exponentiated Hencky-logarithmic strain energy: part III-coupling with idealized multiplicative isotropic finite strain plasticity.
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- Continuum Mechanics & Thermodynamics, 2016, v. 28, n. 1/2, p. 477, doi. 10.1007/s00161-015-0449-y
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- Article
40
A unifying perspective: the relaxed linear micromorphic continuum.
- Published in:
- Continuum Mechanics & Thermodynamics, 2014, v. 26, n. 5, p. 639, doi. 10.1007/s00161-013-0322-9
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- Article
41
Simple shear in nonlinear Cosserat elasticity: bifurcation and induced microstructure.
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- Continuum Mechanics & Thermodynamics, 2009, v. 21, n. 3, p. 195, doi. 10.1007/s00161-009-0105-5
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- Article
42
Global regularity in a nonlinear relaxed micromorphic continuum on Lipschitz domains: Global regularity in a nonlinear relaxed micromorphic...: Dorothee Knees et al.
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- Calculus of Variations & Partial Differential Equations, 2025, v. 64, n. 2, p. 1, doi. 10.1007/s00526-024-02915-1
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- Article
43
Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices.
- Published in:
- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2019, v. 99, n. 6, p. N.PAG, doi. 10.1002/zamm.201800120
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- Article
44
The modified indeterminate couple stress model: Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2017, v. 97, n. 12, p. 1524, doi. 10.1002/zamm.201600107
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45
A panorama of dispersion curves for the weighted isotropic relaxed micromorphic model.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2017, v. 97, n. 11, p. 1436, doi. 10.1002/zamm.201600227
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46
The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part II: Non-classical energy-minimizing microrotations in 3D and their computational validation.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2017, v. 97, n. 7, p. 843, doi. 10.1002/zamm.201600030
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- Article
47
The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2017, v. 97, n. 7, p. 828, doi. 10.1002/zamm.201500194
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48
A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvature.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2009, v. 89, n. 7, p. 552, doi. 10.1002/zamm.200800218
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49
A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy.
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- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2009, v. 89, n. 2, p. 107, doi. 10.1002/zamm.200800156
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50
The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy-stress tensor is symmetric.
- Published in:
- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2006, v. 86, n. 11, p. 892, doi. 10.1002/zamm.200510281
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- Article