Finite Elements of Nonlinear Continua
E483185
"Finite Elements of Nonlinear Continua" is a foundational textbook by J. Tinsley Oden that develops the theory and application of finite element methods for analyzing nonlinear solid and structural mechanics problems.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Finite Elements of Nonlinear Continua canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4966480 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Finite Elements of Nonlinear Continua Context triple: [J. Tinsley Oden, notableWork, Finite Elements of Nonlinear Continua]
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A.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis is a foundational textbook that rigorously presents the theory and application of finite element techniques for solving linear static and dynamic problems in engineering and applied sciences.
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B.
Finite Element Methods for Flow Problems
"Finite Element Methods for Flow Problems" is a foundational textbook that develops and applies finite element techniques to the numerical simulation of fluid flow and related transport phenomena.
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C.
A Treatise on the Mathematical Theory of Elasticity
A Treatise on the Mathematical Theory of Elasticity is a foundational textbook in continuum mechanics that rigorously develops the mathematical framework for describing elastic deformation in solid materials.
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D.
Dynamics of Nonhomogeneous Fluids
Dynamics of Nonhomogeneous Fluids is a seminal scientific monograph by Chia-Shun Yih that develops the theoretical foundations of fluid motion in media with spatially varying density and related properties.
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E.
Isogeometric Analysis: Toward Integration of CAD and FEA
"Isogeometric Analysis: Toward Integration of CAD and FEA" is a seminal book that introduces and develops the isogeometric analysis framework, unifying computer-aided design (CAD) and finite element analysis (FEA) for more accurate and efficient engineering simulations.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Finite Elements of Nonlinear Continua Target entity description: "Finite Elements of Nonlinear Continua" is a foundational textbook by J. Tinsley Oden that develops the theory and application of finite element methods for analyzing nonlinear solid and structural mechanics problems.
-
A.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis is a foundational textbook that rigorously presents the theory and application of finite element techniques for solving linear static and dynamic problems in engineering and applied sciences.
-
B.
Finite Element Methods for Flow Problems
"Finite Element Methods for Flow Problems" is a foundational textbook that develops and applies finite element techniques to the numerical simulation of fluid flow and related transport phenomena.
-
C.
A Treatise on the Mathematical Theory of Elasticity
A Treatise on the Mathematical Theory of Elasticity is a foundational textbook in continuum mechanics that rigorously develops the mathematical framework for describing elastic deformation in solid materials.
-
D.
Dynamics of Nonhomogeneous Fluids
Dynamics of Nonhomogeneous Fluids is a seminal scientific monograph by Chia-Shun Yih that develops the theoretical foundations of fluid motion in media with spatially varying density and related properties.
-
E.
Isogeometric Analysis: Toward Integration of CAD and FEA
"Isogeometric Analysis: Toward Integration of CAD and FEA" is a seminal book that introduces and develops the isogeometric analysis framework, unifying computer-aided design (CAD) and finite element analysis (FEA) for more accurate and efficient engineering simulations.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
engineering book
ⓘ
finite element method book ⓘ textbook ⓘ |
| author | J. Tinsley Oden ⓘ |
| contribution |
rigorous variational formulation for nonlinear continua
ⓘ
systematic development of nonlinear finite element theory ⓘ unified treatment of geometrical and material nonlinearity ⓘ |
| educationalUse | graduate-level textbook ⓘ |
| field |
computational mechanics
ⓘ
finite element method ⓘ nonlinear solid mechanics ⓘ structural mechanics ⓘ |
| hasDiscipline |
applied mathematics
ⓘ
civil engineering ⓘ mechanical engineering ⓘ |
| intendedAudience |
graduate students in engineering
ⓘ
practicing engineers ⓘ researchers in computational mechanics ⓘ |
| language | English ⓘ |
| topic |
Galerkin method
ⓘ
Newton-Raphson methods in finite elements ⓘ boundary conditions in nonlinear finite element analysis ⓘ computational implementation of nonlinear FEM ⓘ constitutive modeling of nonlinear materials ⓘ convergence of finite element approximations ⓘ error estimation in finite element analysis ⓘ finite element discretization of continua ⓘ geometrically nonlinear analysis ⓘ incremental-iterative solution procedures ⓘ isoparametric finite elements ⓘ large deformation analysis ⓘ material nonlinearity ⓘ nonlinear continua ⓘ nonlinear elasticity ⓘ plasticity models in finite elements ⓘ principle of virtual work ⓘ stability and bifurcation in structures ⓘ strain measures in nonlinear mechanics ⓘ stress measures in nonlinear mechanics ⓘ variational principles ⓘ viscoelasticity in finite elements ⓘ weak formulations of boundary value problems ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Finite Elements of Nonlinear Continua Description of subject: "Finite Elements of Nonlinear Continua" is a foundational textbook by J. Tinsley Oden that develops the theory and application of finite element methods for analyzing nonlinear solid and structural mechanics problems.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.