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1. Full Text The role of the Gordon–Schowalter derivative term in the constitutive models—improved flexibility of the modified XPP model
by Pivokonsky, Radek and Filip, Petr and Zelenkova, Jana
Colloid and Polymer Science, ISSN 0303-402X, 04/2015, Volume 293, Issue 4, pp. 1227 - 1236
Constitutive models that complete the set of equations describing the flow of polymer melts should respect objective thermodynamics and stability conditions... 
PTT-XPP model | Constitutive model | Gordon–Schowalter derivative | Elongational flow | PTT model | Shear flow | DIE | POLYMER SCIENCE | EQUATIONS | CHEMISTRY, PHYSICAL | POM-POM MODEL | PREDICTIVE/FITTING CAPABILITIES | POLYMER MELTS | FLOW | SHEAR | Gordon-Schowalter derivative | NUMERICAL-SIMULATION | EXTRUSION | Thermodynamics | Polyethylene | Models | Analysis | Polyethylenes | Polyvinyl acetal resins | Constitutive relationships | Mathematical analysis | Mathematical models | Derivatives | Flexibility | Melts
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2. Full Text Predictive/fitting capabilities of differential constitutive models for polymer melts—reduction of nonlinear parameters in the eXtended Pom-Pom model
by Pivokonsky, R and Filip, P
Colloid and Polymer Science, ISSN 0303-402X, 11/2014, Volume 292, Issue 11, pp. 2753 - 2763
A phenomenological modification of the eXtended Pom-Pom (XPP) model is proposed with the aim to reduce the number of free nonlinear parameters. The modified... 
Food Science | XPP model | Shear flow | Nanotechnology and Microengineering | Constitutive model | LDPE materials | Polymer Sciences | Chemistry | Soft and Granular Matter, Complex Fluids and Microfluidics | Physical Chemistry | Characterization and Evaluation of Materials | Elongational flow | Strain hardening | Ldpe materials | Xpp model | SHEAR FLOWS | POLYMER SCIENCE | LOW-DENSITY POLYETHYLENE | BRANCHED POLYMERS | EQUATIONS | CHEMISTRY, PHYSICAL | RHEOLOGY | Polyethylene | Models | Polymer industry | Analysis | Viscoelasticity | Stresses | Polyethylenes | Fittings | Nonlinearity | Mathematical models | Elongation
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3. Full Text Inverse determination of Johnson–Cook model constants of ultra-fine-grained titanium based on chip formation model and iterative gradient search
by Ning, Jinqiang and Nguyen, Vinh and Huang, Yong and Hartwig, Karl T and Liang, Steven Y
International Journal of Advanced Manufacturing Technology, ISSN 0268-3768, 11/2018, Volume 99, Issue 5-8, pp. 1131 - 1140
This paper presents an original method to inversely identify the Johnson-Cook model constants (J-C constants) of ultra-fine-grained titanium (UFG Ti) based on... 
Johnson–Cook model constants | Chip formation model | Ultra-fine-grained titanium | Iterative gradient search | Johnson-Cook model constants | PARAMETERS | ENGINEERING, MANUFACTURING | IDENTIFICATION | AUTOMATION & CONTROL SYSTEMS | TOOL | Algorithms | Implants, Artificial | Prosthesis | Analysis | Machining | Mechanical engineering | Aerospace engineering
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4. Full Text Mixed hardening hyper-viscoplasticity model for soils incorporating non-linear creep rate – H-creep model
by Aung, Ye and Khabbaz, Hadi and Fatahi, Behzad
International Journal of Plasticity, ISSN 0749-6419, 09/2019, Volume 120, pp. 88 - 114
This paper focuses on the deformation of soils considering the time-dependent stress-strain evolution. In this paper, a new mixed hardening... 
Creep | Kinematic hardening | Constitutive behaviour | Isotropic hardening | Dissipation | Non-linear | Free energy | ENERGY | MATERIALS SCIENCE, MULTIDISCIPLINARY | STRESS-STRAIN BEHAVIOR | CONSTITUTIVE MODEL | FORMULATION | CONCRETE | ENGINEERING, MECHANICAL | MECHANICS | TIME-DEPENDENT BEHAVIOR | FRAMEWORK | CLAY | PLASTICITY | Soils | Usage | Analysis | Soil stresses | Elasticity | Creep rate | Parameter identification | Loci | Hardening rate | Time dependence | Energy dissipation | Viscoplasticity | Kinematics | Mathematical models | Constitutive models
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5. Full Text Mechanical models for living cells—a review
by Lim, C.T and Zhou, E.H and Quek, S.T
Journal of Biomechanics, ISSN 0021-9290, 2006, Volume 39, Issue 2, pp. 195 - 216
As physical entities, living cells possess structural and physical properties that enable them to withstand the physiological environment as well as mechanical... 
Viscoelasticity | Constitutive relations | Biorheology | Mechanotransduction | Living cells | Single cell biomechanics | Continuum mechanical models | HUMAN NEUTROPHILS | MICROPIPETTE ASPIRATION | ENGINEERING, BIOMEDICAL | mechanotransduction | ASPIRATION CONTACT PROBLEM | BOUNDARY INTEGRAL MODEL | continuum mechanical models | living cells | FINITE-ELEMENT MODEL | biorheology | ATOMIC-FORCE MICROSCOPY | BIOPHYSICS | constitutive relations | ARTICULAR-CARTILAGE | viscoelasticity | ENDOTHELIAL-CELLS | SMOOTH-MUSCLE-CELLS | RED-BLOOD-CELL | single cell biomechanics | Viscosity | Humans | Cell Physiological Phenomena | Elasticity | Stress, Mechanical | Linear Models | Biomechanical Phenomena - methods | Cell Membrane - physiology | Mechanotransduction, Cellular - physiology | Physical Stimulation - methods | Animals | Models, Biological | Microfluidics - methods | Studies | Proteins | Mechanical properties | Cytoskeleton | Cells | Blood
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6. Full Text Testing of a hot stamped axial crush member with tailored properties – Experiments and models
by Omer, Kaab and ten Kortenaar, Lukas and Butcher, Clifford and Worswick, Michael and Malcolm, Skye and Detwiler, Duane
International Journal of Impact Engineering, ISSN 0734-743X, 05/2017, Volume 103, pp. 12 - 28
The effect of tailoring the properties of a hot stamped axial crush rail on its axial crush response is investigated. Four configurations of rails of thickness... 
In-die heating | Energy absorption | Axial crush | GISSMO | Tailored hot stamping | ALUMINUM TUBES | ENERGY ABSORBERS | IMPLEMENTATION | SECTIONS | CONSTITUTIVE MODEL | SIMULATION | ENGINEERING, MECHANICAL | TRANSITION | MECHANICS | HARDENED BORON STEEL | Hardness | Analysis | Models
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7. Full Text Predictive Models of Nanodevices
by Biolek, Dalibor and Biolek, Zdenek
IEEE Transactions on Nanotechnology, ISSN 1536-125X, 09/2018, Volume 17, Issue 5, pp. 906 - 913
Chua's concept of nonlinear higher-order elements is generalized with the aim of extending the procedures of predictive modeling of complex electrical systems... 
Chua's table | Predictive model | pinched hysteresis loop | Predictive models | Inductors | Analytical models | storeyed structure | Memristors | nonlinear element | memristor | constitutive relation | Nanoscale devices | Mathematical model | higher-order element | Integrated circuit modeling | PHYSICS, APPLIED | MATERIALS SCIENCE, MULTIDISCIPLINARY | NANOSCIENCE & NANOTECHNOLOGY | MEMRISTORS | ENGINEERING, ELECTRICAL & ELECTRONIC | HYSTERESIS | CIRCUIT ELEMENTS | Domains | Nanotechnology devices | Mathematical models | Modelling | Constitutive relationships | Equations of motion
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8. Full Text Implementation of a modified Drucker–Prager model in the lattice spring model for plasticity and fracture
by Zhao, Gao-Feng and Lian, Jijian and Russell, Adrain and Khalili, Nasser
Computers and Geotechnics, ISSN 0266-352X, 03/2019, Volume 107, pp. 97 - 109
In this work, a general framework is developed for the incorporation of elasto-plastic constitutive models into the Distinct Lattice Spring Model (DLSM).... 
Lattice Spring Model | Fracture | Non-associate flow rule | Drucker-Prager model | Plasticity | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GEOSCIENCES, MULTIDISCIPLINARY | CRACK-PROPAGATION | ENGINEERING, GEOLOGICAL | HETEROGENEOUS MATERIALS | Finite volume method | Mathematical models | Constitutive models | Spring | Framework
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9. Full Text UH model: Three-dimensional unified hardening model for overconsolidated clays
by Yao, Y.-P and Hou, W and Zhou, A.-N
Geotechnique, ISSN 0016-8505, 06/2009, Volume 59, Issue 5, pp. 451 - 469
Based on the relationship between the current yield surface and the reference yield surface, a new model, called the three-dimensional unified hardening model... 
Clays | Constitutive relations | Deformation | Plasticity | Stress path | SOILS | SAND | stress path | BEHAVIOR | plasticity | CONSTITUTIVE MODEL | SUBLOADING SURFACE | GEOSCIENCES, MULTIDISCIPLINARY | constitutive relations | clays | ENGINEERING, GEOLOGICAL | deformation | STRESS
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10. Full Text Fibre‐reinforced concrete in fib Model Code 2010: principles, models and test validation
by di Prisco, Marco and Colombo, Matteo and Dozio, Daniele
Structural Concrete, ISSN 1464-4177, 12/2013, Volume 14, Issue 4, pp. 342 - 361
In the fib Model Code for Concrete Structures 2010, fibre‐reinforced concrete (FRC) is recognized as a new material for structures. This introduction will... 
fibre‐reinforced concrete | analysis and design methods | directives | building materials / construction materials | structural characteristic length | modelling | standards | constitutive equations | identification | structural behaviour | regulations | guidelines | redundancy | structural design | fib | Model Code 2010 | fibre-reinforced concrete | RILEM TC 162-TDF | FRACTURE-BEHAVIOR | ENGINEERING, CIVIL | STEEL | CONSTRUCTION & BUILDING TECHNOLOGY | DESIGN METHODS
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11. Full Text A comparative study on Johnson–Cook, modified Johnson–Cook and Arrhenius-type constitutive models to predict the high temperature flow stress in 20CrMo alloy steel
by He, An and Xie, Ganlin and Zhang, Hailong and Wang, Xitao
Materials and Design, ISSN 0264-1275, 12/2013, Volume 52, pp. 677 - 685
The isothermal hot compression tests were conducted on a Gleeble-1500D thermal simulation machine, in a wide range of temperatures (1173–1373 K) and strain... 
Constitutive equation | High temperature deformation | Flow stress | AUSTENITIC STAINLESS-STEEL | METALS | ZERILLI-ARMSTRONG | MATERIALS SCIENCE, MULTIDISCIPLINARY | MAGNESIUM ALLOY | DEFORMATION-BEHAVIOR | HOT DEFORMATION | ELEVATED-TEMPERATURE | Steel alloys | Boron steel | Comparative analysis | Weather forecasting | Alloys | Specialty steels | Models | Hot pressing | Constitutive relationships | Deformation | Chromium molybdenum steels | Yield strength | Mathematical models | Alloy steels | Strain rate | Thermal simulation
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12. Full Text Filtered two‐fluid models of fluidized gas‐particle flows: New constitutive relations
by Milioli, Christian C and Milioli, Fernando E and Holloway, William and Agrawal, Kapil and Sundaresan, Sankaran
AIChE Journal, ISSN 0001-1541, 09/2013, Volume 59, Issue 9, pp. 3265 - 3275
New constitutive relations for filtered two‐fluid models (TFM) of gas‐particle flows are obtained by systematically filtering results generated through highly... 
gas‐particle flow | constitutive relations | filtered model | kinetic theory of granular flows | two‐fluid model | coarse grid simulation | multiphase flows | Coarse grid simulation | Constitutive relations | Gas-particle flow | Multiphase flows | Filtered model | Two-fluid model | Kinetic theory of granular flows | ENGINEERING, CHEMICAL | RISERS | two-fluid model | EQUATIONS | gas-particle flow | Turbulence | Analysis | Models | Indexing in process | Correlation | Filtration | Filtering | Large eddy simulation | Constitutive relationships | Computer simulation | Inhomogeneity | Fluxes
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13. Full Text Dynamic stress–strain states for metal foams using a 3D cellular model
by Zheng, Zhijun and Wang, Changfeng and Yu, Jilin and Reid, Stephen R and Harrigan, John J
Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 12/2014, Volume 72, pp. 93 - 114
Dynamic uniaxial impact behaviour of metal foams using a 3D cell-based finite element model is examined. At sufficiently high loading rates, these materials... 
Strain field | Finite element model | Shock wave behaviour | Closed-cell foam | Dynamic constitutive relation | VELOCITY | PHYSICS, CONDENSED MATTER | WAVE MODELS | FIELD | MATERIALS SCIENCE, MULTIDISCIPLINARY | COMPRESSIVE STRENGTH PROPERTIES | SHOCK THEORY | PART II | IMPACT | MECHANICS | ALUMINUM FOAMS | Finite element method | Analysis | Biological products | Metal foams | Foams | Cellular | Stress-strain relationships | Dynamics | Mathematical analysis | Mathematical models | Three dimensional models
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14. Full Text Parametrically homogenized constitutive models (PHCMs) from micromechanical crystal plasticity FE simulations: Part II: Thermo-elasto-plastic model with experimental validation for titanium alloys
by Kotha, Shravan and Ozturk, Deniz and Ghosh, Somnath
International Journal of Plasticity, ISSN 0749-6419, 09/2019, Volume 120, pp. 320 - 339
In this second of the two-part paper on the development of Parametrically Homogenized Constitutive Models (PHCMs), constitutive coefficients are represented in... 
Crystal plasticity | Titanium alloys | Parametric homogenization | Thermo-elasto-plasticity | Machine learning | MATERIALS SCIENCE, MULTIDISCIPLINARY | TENSION | ALPHA | ANISOTROPIC YIELD FUNCTION | COMPRESSION | DEFORMATION | FLOW | ENGINEERING, MECHANICAL | MECHANICS | CRITERION | NUCLEATION | Anisotropy | Analysis | Grain size | Plastic anisotropy | Alloy development | Computer simulation | Tensile tests | Polycrystals | Mechanical properties | Parameter identification | Crystallography | Model accuracy | Titanium base alloys | Hardening rate | Finite element method | Ramps | Misalignment | Morphology | Plastic properties | Constitutive models | Mathematical models | Microstructure | Artificial intelligence
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15. Full Text Non linear constitutive models for lattice materials
by Vigliotti, Andrea and Deshpande, Vikram S and Pasini, Damiano
Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 03/2014, Volume 64, Issue 1, pp. 44 - 60
We use a computational homogenisation approach to derive a non linear constitutive model for lattice materials. A representative volume element (RVE) of the... 
Periodic cellular materials | Lattice materials | Non linear mechanics | Multiscale mechanics | FOAMS | PHYSICS, CONDENSED MATTER | MATERIALS SCIENCE, MULTIDISCIPLINARY | SIZE | COMPOSITES | REPRESENTATIVE VOLUME ELEMENT | MECHANICS | HONEYCOMBS | COMPUTATIONAL HOMOGENIZATION | SOLIDS | CELLULAR MATERIALS | HETEROGENEOUS MATERIALS | Tensile stress | Structural members | Stress-strain relationships | Constitutive relationships | Lattices | Mathematical models | Homogenizing | Strain
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