International Journal of Plasticity, ISSN 0749-6419, 02/2014, Volume 53, pp. 164 - 178

•Definition of true resultant Burgers vector is given.•Thermodynamic framework of nonlinear CDT is proposed.•Governing equations of nonlinear CDT are...

B. Finite strain | A. Dislocations | B. Crystal plasticity | C. Variational calculus | POLYGONIZATION | DISTRIBUTED DISLOCATIONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | MODEL | Finite strain | ENGINEERING, MECHANICAL | Dislocations | Crystal plasticity | SINGLE-CRYSTALS | MECHANICS | PLANE CONSTRAINED SHEAR | Variational calculus | GRADIENT THEORY | Dislocation density | Mathematical analysis | Kinematics | Plasticity | Continuums | Vectors (mathematics) | Strain

B. Finite strain | A. Dislocations | B. Crystal plasticity | C. Variational calculus | POLYGONIZATION | DISTRIBUTED DISLOCATIONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | MODEL | Finite strain | ENGINEERING, MECHANICAL | Dislocations | Crystal plasticity | SINGLE-CRYSTALS | MECHANICS | PLANE CONSTRAINED SHEAR | Variational calculus | GRADIENT THEORY | Dislocation density | Mathematical analysis | Kinematics | Plasticity | Continuums | Vectors (mathematics) | Strain

Journal Article

Journal of Physics D: Applied Physics, ISSN 0022-3727, 10/2015, Volume 48, Issue 46, pp. 465502 - 465513

In flexoelectricity, a strain gradient can induce polarization and a polarization gradient can induce mechanical stress. In this paper, in order to identify...

variational principle | Flexoelectricity | strain gradient elasticity | size effect | electromechanics | VARIATIONAL-PRINCIPLES | MICROBEAM | PHYSICS, APPLIED | COUPLE-STRESS | flexoelectricity | ELECTRIC-FIELD | ELASTICITY | SOLIDS | GRADIENT THEORY | Polarization | Constitutive relationships | Deformation | Mathematical analysis | Constants | Coupling | Electric fields | Strain

variational principle | Flexoelectricity | strain gradient elasticity | size effect | electromechanics | VARIATIONAL-PRINCIPLES | MICROBEAM | PHYSICS, APPLIED | COUPLE-STRESS | flexoelectricity | ELECTRIC-FIELD | ELASTICITY | SOLIDS | GRADIENT THEORY | Polarization | Constitutive relationships | Deformation | Mathematical analysis | Constants | Coupling | Electric fields | Strain

Journal Article

Molecular Physics, ISSN 0026-8976, 03/2019, Volume 117, Issue 5, pp. 590 - 609

In pre-Born-Oppenheimer (pre-BO) theory a molecule is considered as a quantum system as a whole, including the electrons and the atomic nuclei on the same...

explicitly correlated Gaussian functions | stochastic variational method | pre-Born-Oppenheimer theory | molecular structure in quantum mechanics | rovibronic resonances | pre-Born–Oppenheimer theory | CHARGE ASYMMETRY | ENERGY | NUCLEAR | GROUND-STATE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | EXCITED-STATES | STABILIZATION METHOD | NONADIABATIC VARIATIONAL CALCULATIONS | QUANTUM-THEORY | RESONANCES | HYDROGEN MOLECULE | Potential energy | Coupling (molecular) | Organic chemistry | Quantum chemistry | Molecular structure | Theory | Quantum mechanics | Nuclei (nuclear physics) | Quantum theory | Electrons

explicitly correlated Gaussian functions | stochastic variational method | pre-Born-Oppenheimer theory | molecular structure in quantum mechanics | rovibronic resonances | pre-Born–Oppenheimer theory | CHARGE ASYMMETRY | ENERGY | NUCLEAR | GROUND-STATE | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | EXCITED-STATES | STABILIZATION METHOD | NONADIABATIC VARIATIONAL CALCULATIONS | QUANTUM-THEORY | RESONANCES | HYDROGEN MOLECULE | Potential energy | Coupling (molecular) | Organic chemistry | Quantum chemistry | Molecular structure | Theory | Quantum mechanics | Nuclei (nuclear physics) | Quantum theory | Electrons

Journal Article

Microsystem Technologies, ISSN 0946-7076, 2/2018, Volume 24, Issue 2, pp. 951 - 961

A mathematical model of two-temperature phase-lag Green–Naghdi thermoelasticty theories based on fractional derivative heat transfer is given. The GN theories...

Electronics and Microelectronics, Instrumentation | Engineering | Mechanical Engineering | Nanotechnology | STATE-SPACE APPROACH | VARIATIONAL-PRINCIPLES | MAGNETO-THERMOELASTICITY | PHYSICS, APPLIED | GENERALIZED THERMO-VISCOELASTICITY | MATERIALS SCIENCE, MULTIDISCIPLINARY | NANOSCIENCE & NANOTECHNOLOGY | ORDER THEORY | 2 RELAXATION-TIMES | MAGNETOHYDRODYNAMIC FREE-CONVECTION | ENGINEERING, ELECTRICAL & ELECTRONIC | ENERGY-DISSIPATION | POROUS-MEDIUM | RECIPROCITY THEOREMS

Electronics and Microelectronics, Instrumentation | Engineering | Mechanical Engineering | Nanotechnology | STATE-SPACE APPROACH | VARIATIONAL-PRINCIPLES | MAGNETO-THERMOELASTICITY | PHYSICS, APPLIED | GENERALIZED THERMO-VISCOELASTICITY | MATERIALS SCIENCE, MULTIDISCIPLINARY | NANOSCIENCE & NANOTECHNOLOGY | ORDER THEORY | 2 RELAXATION-TIMES | MAGNETOHYDRODYNAMIC FREE-CONVECTION | ENGINEERING, ELECTRICAL & ELECTRONIC | ENERGY-DISSIPATION | POROUS-MEDIUM | RECIPROCITY THEOREMS

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 09/2008, Volume 78, Issue 6

We examine a double trace deformation of SU(N) Yang-Mills theory which, for large N and large volume, is equivalent to unmodified Yang-Mills theory up to...

STATE VARIATIONAL ALGORITHM | NONTRIVIAL HOLONOMY | LATTICE GAUGE-THEORY | QCD | INSTANTONS | ASTRONOMY & ASTROPHYSICS | DYNAMICS | DUALITY | MONOPOLES | EGUCHI-KAWAI MODEL | SYMMETRY-BREAKING | PHYSICS, PARTICLES & FIELDS

STATE VARIATIONAL ALGORITHM | NONTRIVIAL HOLONOMY | LATTICE GAUGE-THEORY | QCD | INSTANTONS | ASTRONOMY & ASTROPHYSICS | DYNAMICS | DUALITY | MONOPOLES | EGUCHI-KAWAI MODEL | SYMMETRY-BREAKING | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 6/2018, Volume 2018, Issue 6, pp. 1 - 35

The action of the free theory in six spacetime dimensions is explicitly constructed. The variables of the variational principle are prepotentials adapted to...

Supergravity Models | Extended Supersymmetry | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | Relativistic theory | Supersymmetry | Spacetime | Relativity | supersymmetry | variational | time dependence | [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] | Nuclear and particle physics. Atomic energy. Radioactivity | space-time: dimension | self-duality | Poincare | prepotential | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | space-time: dimension: 6

Supergravity Models | Extended Supersymmetry | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Supersymmetry and Duality | Physics | Elementary Particles, Quantum Field Theory | Relativistic theory | Supersymmetry | Spacetime | Relativity | supersymmetry | variational | time dependence | [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] | Nuclear and particle physics. Atomic energy. Radioactivity | space-time: dimension | self-duality | Poincare | prepotential | [ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th] | space-time: dimension: 6

Journal Article

Chemical Reviews, ISSN 0009-2665, 01/2012, Volume 112, Issue 1, pp. 499 - 542

ROTATIONAL ENERGY-TRANSFER | CURVE CROSSING PROBLEMS | COUPLED ELECTRON-TRANSFER | SIMPLE MOLECULAR-IONS | SINGLE-SURFACE APPROXIMATIONS | DENSITY-FUNCTIONAL THEORY | CHEMISTRY, MULTIDISCIPLINARY | INTENSE LASER FIELD | SCHWINGER VARIATIONAL PRINCIPLE | STATE TRANSITION-PROBABILITIES | GEOMETRIC PHASE | Potential energy | Measurement | Spin coupling | Analysis | Molecular orbitals | Wave functions | Electron spin

Journal Article

International Journal of Modern Physics D, ISSN 0218-2718, 04/2011, Volume 20, Issue 4, pp. 413 - 462

We review the recent literature on modified theories of gravity in the Palatini approach. After discussing the motivations that lead to consider alternatives...

modified gravity | Hamiltonian formulation | quantum gravity phenomenology | stellar structure | cosmic speed-up | MOND | dark energy | solar system tests | dark matter | Cauchy problem | Palatini formalism | VARIATIONAL PRINCIPLE | GENERAL-RELATIVITY | EINSTEIN EQUATIONS | PROBE WMAP OBSERVATIONS | CAUCHY-PROBLEM | EXTENDED THEORIES | COVARIANT CONSERVATION | METRIC-AFFINE THEORIES | COSMOLOGICAL PERTURBATIONS | ENERGY-MOMENTUM | ASTRONOMY & ASTROPHYSICS | Analysis | Gravity

modified gravity | Hamiltonian formulation | quantum gravity phenomenology | stellar structure | cosmic speed-up | MOND | dark energy | solar system tests | dark matter | Cauchy problem | Palatini formalism | VARIATIONAL PRINCIPLE | GENERAL-RELATIVITY | EINSTEIN EQUATIONS | PROBE WMAP OBSERVATIONS | CAUCHY-PROBLEM | EXTENDED THEORIES | COVARIANT CONSERVATION | METRIC-AFFINE THEORIES | COSMOLOGICAL PERTURBATIONS | ENERGY-MOMENTUM | ASTRONOMY & ASTROPHYSICS | Analysis | Gravity

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 04/2011, Volume 134, Issue 15, pp. 154110 - 154110-11

We remove the nonuniqueness of the embedding potential that exists in most previous quantum mechanical embedding schemes by letting the environment and...

CU SURFACES | PSEUDOPOTENTIALS | ELECTRON-GAS | MOLECULAR CALCULATIONS | CO ADSORPTION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | AB-INITIO CALCULATIONS | CHEMICAL-REACTIVITY THEORY | BASIS-SETS | DENSITY-FUNCTIONAL THEORY | METAL-SURFACES | OXYGEN COMPOUNDS | APPROXIMATIONS | CALCULATION METHODS | INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY | POTENTIALS | ADSORPTION | FUNCTIONS | CARBON MONOXIDE | MOLECULES | WAVE FUNCTIONS | DENSITY | ELEMENTS | MECHANICS | SPIN ORIENTATION | VAN DER WAALS FORCES | KINETIC ENERGY | PHYSICAL PROPERTIES | EMISSION SPECTRA | PARTITION | CARBON COMPOUNDS | ENERGY | DENSITY FUNCTIONAL METHOD | CARBON OXIDES | SORPTION | ATOMIC AND MOLECULAR PHYSICS | INTERACTIONS | QUANTUM MECHANICS | NONMETALS | X-RAY SPECTRA | VARIATIONAL METHODS | ACCURACY | HYDROGEN | CHALCOGENIDES | ORIENTATION | BINDING ENERGY | OXIDES | SPECTRA | SURFACES

CU SURFACES | PSEUDOPOTENTIALS | ELECTRON-GAS | MOLECULAR CALCULATIONS | CO ADSORPTION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | AB-INITIO CALCULATIONS | CHEMICAL-REACTIVITY THEORY | BASIS-SETS | DENSITY-FUNCTIONAL THEORY | METAL-SURFACES | OXYGEN COMPOUNDS | APPROXIMATIONS | CALCULATION METHODS | INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY | POTENTIALS | ADSORPTION | FUNCTIONS | CARBON MONOXIDE | MOLECULES | WAVE FUNCTIONS | DENSITY | ELEMENTS | MECHANICS | SPIN ORIENTATION | VAN DER WAALS FORCES | KINETIC ENERGY | PHYSICAL PROPERTIES | EMISSION SPECTRA | PARTITION | CARBON COMPOUNDS | ENERGY | DENSITY FUNCTIONAL METHOD | CARBON OXIDES | SORPTION | ATOMIC AND MOLECULAR PHYSICS | INTERACTIONS | QUANTUM MECHANICS | NONMETALS | X-RAY SPECTRA | VARIATIONAL METHODS | ACCURACY | HYDROGEN | CHALCOGENIDES | ORIENTATION | BINDING ENERGY | OXIDES | SPECTRA | SURFACES

Journal Article

International Journal of Plasticity, ISSN 0749-6419, 01/2016, Volume 76, pp. 213 - 230

A three-dimensional continuum dislocation theory for single crystals containing curved dislocations is proposed. A set of governing equations and boundary...

B. Finite strain | A. Dislocations | B. Crystal plasticity | C. Variational calculus | DISTRIBUTED DISLOCATIONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | MODEL | Finite strain | DEFORMATION | ENGINEERING, MECHANICAL | Dislocations | Crystal plasticity | MECHANICS | BOUNDARIES | EVOLUTION | SINGLE-CRYSTAL PLASTICITY | DENSITIES | PLANE CONSTRAINED SHEAR | DYNAMICS | Variational calculus | GRADIENT THEORY | Single crystals | Asymptotic properties | Mathematical analysis | Slip | Continuums | Dislocation loops | Three dimensional

B. Finite strain | A. Dislocations | B. Crystal plasticity | C. Variational calculus | DISTRIBUTED DISLOCATIONS | MATERIALS SCIENCE, MULTIDISCIPLINARY | MODEL | Finite strain | DEFORMATION | ENGINEERING, MECHANICAL | Dislocations | Crystal plasticity | MECHANICS | BOUNDARIES | EVOLUTION | SINGLE-CRYSTAL PLASTICITY | DENSITIES | PLANE CONSTRAINED SHEAR | DYNAMICS | Variational calculus | GRADIENT THEORY | Single crystals | Asymptotic properties | Mathematical analysis | Slip | Continuums | Dislocation loops | Three dimensional

Journal Article

Annals of Physics, ISSN 0003-4916, 04/2007, Volume 322, Issue 4, pp. 935 - 966

General Relativity assumes that spacetime is fully described by the metric alone. An alternative is the so called Palatini formalism where the metric and the...

f(R) gravity | Non-metricity | Torsion | Metric-affine gravity | metric-affine gravity | VARIATIONAL-PRINCIPLES | MATTER FIELDS | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | COSMOLOGICAL THEORY | non-metricity | torsion | 1/R GRAVITY | INFLATION | FIELD-EQUATIONS | EXPANSION | PALATINI FORMULATION | Cosmology | Theory | Physics | Gravity | MATTER | GENERAL RELATIVITY THEORY | SPACE-TIME | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | COSMOLOGICAL MODELS | SCALARS | GRAVITATION | TORSION | UNIVERSE

f(R) gravity | Non-metricity | Torsion | Metric-affine gravity | metric-affine gravity | VARIATIONAL-PRINCIPLES | MATTER FIELDS | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | COSMOLOGICAL THEORY | non-metricity | torsion | 1/R GRAVITY | INFLATION | FIELD-EQUATIONS | EXPANSION | PALATINI FORMULATION | Cosmology | Theory | Physics | Gravity | MATTER | GENERAL RELATIVITY THEORY | SPACE-TIME | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | COSMOLOGICAL MODELS | SCALARS | GRAVITATION | TORSION | UNIVERSE

Journal Article

32.
Full Text
A microstructure-dependent Timoshenko beam model based on a modified couple stress theory

Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 2008, Volume 56, Issue 12, pp. 3379 - 3391

A microstructure-dependent Timoshenko beam model is developed using a variational formulation. It is based on a modified couple stress theory and Hamilton's...

Couple stress theory | Non-local beam model | Classical beam theory | Timoshenko beam | Size effect | PHYSICS, CONDENSED MATTER | MECHANICS | GRADIENT ELASTICITY | RELEVANCE | MATERIALS SCIENCE, MULTIDISCIPLINARY | VARIATIONAL FORMULATION | Analysis | Vibration

Couple stress theory | Non-local beam model | Classical beam theory | Timoshenko beam | Size effect | PHYSICS, CONDENSED MATTER | MECHANICS | GRADIENT ELASTICITY | RELEVANCE | MATERIALS SCIENCE, MULTIDISCIPLINARY | VARIATIONAL FORMULATION | Analysis | Vibration

Journal Article

Journal of Computational Chemistry, ISSN 0192-8651, 07/2018, Volume 39, Issue 18, pp. 1083 - 1089

The Schrödinger theory for a system of electrons in the presence of both a static and time‐dependent electromagnetic field is generalized so as to exhibit the...

self‐consistency | Schrödinger theory of electrons | “Quantal Newtonian” laws | self-consistency | DENSITY | VARIATIONAL-PRINCIPLES | GROUND-STATE | Schrodinger theory of electrons | "Quantal Newtonian" laws | MAGNETIC-FIELD | MODEL | CHEMISTRY, MULTIDISCIPLINARY | College teachers | Newton's laws of motion | Electromagnetic fields | Electrons

self‐consistency | Schrödinger theory of electrons | “Quantal Newtonian” laws | self-consistency | DENSITY | VARIATIONAL-PRINCIPLES | GROUND-STATE | Schrodinger theory of electrons | "Quantal Newtonian" laws | MAGNETIC-FIELD | MODEL | CHEMISTRY, MULTIDISCIPLINARY | College teachers | Newton's laws of motion | Electromagnetic fields | Electrons

Journal Article

Physical Review Letters, ISSN 0031-9007, 04/2018, Volume 120, Issue 15, p. 153602

We study the scattering of individual photons by a two-level system ultrastrongly coupled to a waveguide. The scattering is elastic for a broad range of...

PHYSICS, MULTIDISCIPLINARY | DYNAMICS | ENTANGLED PAIR STATES | VARIATIONAL CALCULATION | BATH | MATRIX PRODUCT STATES | 2-LEVEL SYSTEM | ATOM | Physics - Quantum Physics

PHYSICS, MULTIDISCIPLINARY | DYNAMICS | ENTANGLED PAIR STATES | VARIATIONAL CALCULATION | BATH | MATRIX PRODUCT STATES | 2-LEVEL SYSTEM | ATOM | Physics - Quantum Physics

Journal Article

2015, Proceedings of symposia in pure mathematics, ISBN 9781470411121, Volume 89, viii, 339

Book

Nonlinear Dynamics, ISSN 0924-090X, 8/2008, Volume 53, Issue 3, pp. 215 - 222

Using the recent formulation of Noether’s theorem for the problems of the calculus of variations with fractional derivatives, the Lagrange multiplier...

Automotive and Aerospace Engineering, Traffic | Noether’s theorem | Conservation laws | Engineering | Vibration, Dynamical Systems, Control | Optimal control | Mechanics | Mechanical Engineering | Fractional derivatives | Symmetry | Noether's theorem | SEQUENTIAL MECHANICS | CALCULUS | EQUATIONS | optimal control | ENGINEERING, MECHANICAL | ORDER | fractional derivatives | MECHANICS | conservation laws | symmetry | LINEAR VELOCITIES | SYSTEMS | HAMILTONIAN-FORMULATION | VARIATIONAL-PROBLEMS | FORMALISM | DERIVATIVES | Environmental law | Economic models | Theorems | Lagrange multiplier | Lagrange multipliers | Legislation | Control theory | Euler-Lagrange equation | Calculus of variations | State variable

Automotive and Aerospace Engineering, Traffic | Noether’s theorem | Conservation laws | Engineering | Vibration, Dynamical Systems, Control | Optimal control | Mechanics | Mechanical Engineering | Fractional derivatives | Symmetry | Noether's theorem | SEQUENTIAL MECHANICS | CALCULUS | EQUATIONS | optimal control | ENGINEERING, MECHANICAL | ORDER | fractional derivatives | MECHANICS | conservation laws | symmetry | LINEAR VELOCITIES | SYSTEMS | HAMILTONIAN-FORMULATION | VARIATIONAL-PROBLEMS | FORMALISM | DERIVATIVES | Environmental law | Economic models | Theorems | Lagrange multiplier | Lagrange multipliers | Legislation | Control theory | Euler-Lagrange equation | Calculus of variations | State variable

Journal Article