Stress-Strain Relation
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Modeling the Mitral Valve
Papers
RAG: A Random-Forest-Based Generative Design Framework for Uncertainty-Aware Design of Metamaterials with Complex Functional Response Requirements
Metamaterials design for advanced functionality often entails the inverse design on nonlinear and condition-dependent responses (e.g., stress-strain relation and dispersion relation), which are described by continuous fu…
Stress-Strain RelationLearning Physics-Consistent Material Behavior from Dynamic Displacements
Accurately modeling the mechanical behavior of materials is crucial for numerous engineering applications. The quality of these models depends directly on the accuracy of the constitutive law that defines the stress-stra…
RelationStress-Strain RelationMechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations
Mechanochemical models of pattern formation in biological tissues have been used to study a variety of biomedical systems and describe the physical interactions between cells and their local surroundings. These models ge…
FormStress-Strain RelationModeling the Mitral Valve
This work is concerned with modeling and simulation of the mitral valve, one of the four valves in the human heart. The valve is composed of leaflets, the free edges of which are supported by a system of chordae, which t…
AnatomyStress-Strain RelationData-driven computing in elasticity via kernel regression
This paper presents a simple nonparametric regression approach to data-driven computing in elasticity. We apply the kernel regression to the material data set, and formulate a system of nonlinear equations solved to obta…
regressionStress-Strain RelationData Driven Computing with Noisy Material Data Sets
We formulate a Data Driven Computing paradigm, termed max-ent Data Driven Computing, that generalizes distance-minimizing Data Driven Computing and is robust with respect to outliers. Robustness is achieved by means of c…
ClusteringStress-Strain Relation