Theory and Implementation of the Spectacular Nonlinear Viscoelastic Constitutive Model Article Swipe
Kenneth Cundiff
,
Michael Buche
,
Brandon Talamini
,
Scott Grutzik
,
Jamie Michael Kropka
,
Kevin Long
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.2172/2430101
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.2172/2430101
This report is a comprehensive guide to the nonlinear viscoelastic Spectacular model, which is an isotropic, thermo-rheologically simple constitutive model for glass-forming materials, such as amorphous polymers. Spectacular is intermediate in complexity to the previous PEC and SPEC models (Potential Energy Clock and Simplified Potential Energy Clock models, respectively). The model form consists of two parts: a Helmholtz free energy functional and a nonlinear material clock that controls the rate of viscoelastic relaxation. The Helmholtz free energy is derived from a series expansion about a reference state. Expressions for the stress and entropy functionals are derived from the Helmholtz free energy following the Rational Mechanics approach. The material clock depends on a simplified expression for the potential energy, which itself is a functional of the temperature and strain histories. This report describes the thermo-mechanical theory of Spectacular, the numerical methods for time-integrating the model, model verification for its implementation in LAMÉ, a user guide for its implementation in LAMÉ, and ideas for future work. A number of appendices provide supplementary mathematical details and a description of the procedure used to derive the simplified potential energy from the full expression for the potential energy. The goal of this report is create a convenient point-of-entry for engineers who wish to learn more about Spectacular, but also to serve as a reference manual for advanced users of the model.
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Theory and Implementation of the Spectacular Nonlinear Viscoelastic Constitutive ModelWork title
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enPrimary language
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2023Year of publication
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2023-12-01Full publication date if available
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Kenneth Cundiff, Michael Buche, Brandon Talamini, Scott Grutzik, Jamie Michael Kropka, Kevin LongList of authors in order
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https://doi.org/10.2172/2430101Publisher landing page
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://www.osti.gov/servlets/purl/2430101Direct OA link when available
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Viscoelasticity, Constitutive equation, Nonlinear system, Computer science, Materials science, Engineering, Structural engineering, Physics, Composite material, Finite element method, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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| abstract_inverted_index.free | 58, 75, 99 |
| abstract_inverted_index.from | 79, 96, 185 |
| abstract_inverted_index.full | 187 |
| abstract_inverted_index.goal | 194 |
| abstract_inverted_index.more | 209 |
| abstract_inverted_index.rate | 69 |
| abstract_inverted_index.such | 23 |
| abstract_inverted_index.that | 66 |
| abstract_inverted_index.this | 196 |
| abstract_inverted_index.used | 178 |
| abstract_inverted_index.user | 152 |
| abstract_inverted_index.wish | 206 |
| abstract_inverted_index.Clock | 41, 46 |
| abstract_inverted_index.about | 83, 210 |
| abstract_inverted_index.clock | 65, 108 |
| abstract_inverted_index.guide | 5, 153 |
| abstract_inverted_index.ideas | 160 |
| abstract_inverted_index.learn | 208 |
| abstract_inverted_index.model | 19, 50, 144 |
| abstract_inverted_index.serve | 215 |
| abstract_inverted_index.users | 222 |
| abstract_inverted_index.which | 12, 118 |
| abstract_inverted_index.work. | 163 |
| abstract_inverted_index.Energy | 40, 45 |
| abstract_inverted_index.LAMÉ, | 150, 158 |
| abstract_inverted_index.create | 199 |
| abstract_inverted_index.derive | 180 |
| abstract_inverted_index.energy | 59, 76, 100, 184 |
| abstract_inverted_index.future | 162 |
| abstract_inverted_index.itself | 119 |
| abstract_inverted_index.manual | 219 |
| abstract_inverted_index.model, | 11, 143 |
| abstract_inverted_index.model. | 225 |
| abstract_inverted_index.models | 38 |
| abstract_inverted_index.number | 165 |
| abstract_inverted_index.parts: | 55 |
| abstract_inverted_index.report | 1, 130, 197 |
| abstract_inverted_index.series | 81 |
| abstract_inverted_index.simple | 17 |
| abstract_inverted_index.state. | 86 |
| abstract_inverted_index.strain | 127 |
| abstract_inverted_index.stress | 90 |
| abstract_inverted_index.theory | 134 |
| abstract_inverted_index.depends | 109 |
| abstract_inverted_index.derived | 78, 95 |
| abstract_inverted_index.details | 171 |
| abstract_inverted_index.energy, | 117 |
| abstract_inverted_index.energy. | 192 |
| abstract_inverted_index.entropy | 92 |
| abstract_inverted_index.methods | 139 |
| abstract_inverted_index.models, | 47 |
| abstract_inverted_index.provide | 168 |
| abstract_inverted_index.Rational | 103 |
| abstract_inverted_index.advanced | 221 |
| abstract_inverted_index.consists | 52 |
| abstract_inverted_index.controls | 67 |
| abstract_inverted_index.material | 64, 107 |
| abstract_inverted_index.previous | 34 |
| abstract_inverted_index.Helmholtz | 57, 74, 98 |
| abstract_inverted_index.Mechanics | 104 |
| abstract_inverted_index.Potential | 44 |
| abstract_inverted_index.amorphous | 25 |
| abstract_inverted_index.approach. | 105 |
| abstract_inverted_index.describes | 131 |
| abstract_inverted_index.engineers | 204 |
| abstract_inverted_index.expansion | 82 |
| abstract_inverted_index.following | 101 |
| abstract_inverted_index.nonlinear | 8, 63 |
| abstract_inverted_index.numerical | 138 |
| abstract_inverted_index.polymers. | 26 |
| abstract_inverted_index.potential | 116, 183, 191 |
| abstract_inverted_index.procedure | 177 |
| abstract_inverted_index.reference | 85, 218 |
| abstract_inverted_index.(Potential | 39 |
| abstract_inverted_index.Simplified | 43 |
| abstract_inverted_index.appendices | 167 |
| abstract_inverted_index.complexity | 31 |
| abstract_inverted_index.convenient | 201 |
| abstract_inverted_index.expression | 113, 188 |
| abstract_inverted_index.functional | 60, 122 |
| abstract_inverted_index.histories. | 128 |
| abstract_inverted_index.isotropic, | 15 |
| abstract_inverted_index.materials, | 22 |
| abstract_inverted_index.simplified | 112, 182 |
| abstract_inverted_index.Expressions | 87 |
| abstract_inverted_index.Spectacular | 10, 27 |
| abstract_inverted_index.description | 174 |
| abstract_inverted_index.functionals | 93 |
| abstract_inverted_index.relaxation. | 72 |
| abstract_inverted_index.temperature | 125 |
| abstract_inverted_index.Spectacular, | 136, 211 |
| abstract_inverted_index.constitutive | 18 |
| abstract_inverted_index.intermediate | 29 |
| abstract_inverted_index.mathematical | 170 |
| abstract_inverted_index.verification | 145 |
| abstract_inverted_index.viscoelastic | 9, 71 |
| abstract_inverted_index.comprehensive | 4 |
| abstract_inverted_index.glass-forming | 21 |
| abstract_inverted_index.supplementary | 169 |
| abstract_inverted_index.implementation | 148, 156 |
| abstract_inverted_index.point-of-entry | 202 |
| abstract_inverted_index.respectively). | 48 |
| abstract_inverted_index.time-integrating | 141 |
| abstract_inverted_index.thermo-mechanical | 133 |
| abstract_inverted_index.thermo-rheologically | 16 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 6 |
| citation_normalized_percentile |