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Constitutive model for ideally elastic material
A hyperelastic or Green elastic material is a type of constitutive model for ideally elastic material for which the stress–strain relationship derives
Hyperelastic_material
Hyperelastic material model
The Ogden material model is a hyperelastic material model used to describe the non-linear stress–strain behaviour of complex materials such as rubbers
Ogden_hyperelastic_model
Hyperelastic material model
solid is a hyperelastic material model, similar to Hooke's law, that can be used for predicting the nonlinear stress–strain behavior of materials undergoing
Neo-Hookean_solid
Non-local formulation of continuum mechanics
{\displaystyle f(\xi ,\eta )} is a scalar-valued function. An hyperelastic material is a material with constitutive relation such that: ∫ Γ f ( ξ , η ) ⋅ d
Peridynamics
Physical property when materials or objects return to original shape after deformation
non-conservative "non-hyperelastic" models (in which work of deformation is path dependent) as well as conservative "hyperelastic material" models (for which
Elasticity_(physics)
no reference is made to thermodynamics. A hyperelastic material is a special case of a Cauchy elastic material in which the stress at any point is objective
Acoustoelastic_effect
Hyperelastic material model
In continuum mechanics, a Mooney–Rivlin solid is a hyperelastic material model where the strain energy density function W {\displaystyle W\,} is a linear
Mooney–Rivlin_solid
Material which is used for construction purposes
Building material is material used for construction. Many naturally occurring substances, such as clay, rocks, sand, wood, and even twigs and leaves, have
Building_material
Mathematical function for thermoelastic strain energy density
energy density function is used to define a hyperelastic material by postulating that the stress in the material can be obtained by taking the derivative
Strain energy density function
Strain_energy_density_function
Model of rubber elasticity
The Gent hyperelastic material model is a phenomenological model of rubber elasticity that is based on the concept of limiting chain extensibility. In
Gent_hyperelastic_model
materials considers large deformation and is derived from the finite strain elastostatics framework and hyperelastic material models. Soft materials (Soft
Fracture_of_soft_materials
Phenomenological model of elastic materials
The Yeoh hyperelastic material model is a phenomenological model for the deformation of nearly incompressible, nonlinear elastic materials such as rubber
Yeoh_hyperelastic_model
Property of crosslinked rubber
approaches L c {\displaystyle L_{\text{c}}} . Elasticity (physics) Hyperelastic material Polymers Thermodynamics Pal, Sanjay; Das, Mithun; Naskar, Kinsuk
Rubber_elasticity
measures except in the linearized case. Hypoelastic material models are distinct from hyperelastic material models (or standard elasticity models) in that
Hypoelastic_material
The polynomial hyperelastic material model is a phenomenological model of rubber elasticity. In this model, the strain energy density function is of the
Polynomial_hyperelastic_model
schemes Hyperelastic materials (isotropic, transversely-isotropic, anisotropic), visco-hyperelastic materials, damage models, fiber materials. Rigid body
FEBio
Tissue in the body that is not hardened by ossification
hyperelastic with different material constants at loading and unloading. By this method the elasticity theory is used to model an inelastic material.
Soft_tissue
Method of modelling contact between solids
density of the third medium, e.g. a neo-Hookean solid or another hyperelastic material. The HuHu regularization was the first regularization method specifically
Third_medium_contact_method
Branch of physics which studies the behavior of materials modeled as continuous media
elastic material Configurational mechanics Curvilinear coordinates Equation of state Finite deformation tensors Finite strain theory Hyperelastic material Lagrangian
Continuum_mechanics
Testing a material's tensile strength along two perpendicular axes
for a wide class of hyperelastic material models (Ogden, Neo-Hooke, Yeoh, and Mooney-Rivlin). ISO 16842:2014 metallic materials – sheet and strip – biaxial
Biaxial_tensile_testing
Ogden–Roxburgh model is an approach published in 1999 which extends hyperelastic material models to allow for the Mullins effect. It is used in several commercial
Ogden–Roxburgh_model
Solid mechanics theory
elastic part of the strain can be computed from a linear elastic or hyperelastic constitutive model. However, determination of the plastic part of the
Flow_plasticity_theory
Geometric representation of material yield
Rosendahl, P. L. (2020). From bulk to structural failure: Fracture of hyperelastic materials, Diss., Technische Universität Darmstadt. Altenbach, H., Kolupaev
Yield_surface
{\bf {\chi }}({\bf {X)}}}{\partial {\bf {X}}}}.} Considering a hyperelastic material with an elastic strain energy density W ( F ) {\displaystyle W({\bf
Incremental_deformations
American company producing construction materials
are covered by concrete on-site. With these alternative construction materials, the structural insulated panels are used to create "disaster-proof" buildings
Vero_Building_Systems
Nature Materials 6 (2006) 48-51. L. A. Mihai and A. Goriely, Positive or negative Poynting effect? The role of adscititious inequalities in hyperelastic materials
Poynting_effect
In continuum mechanics, an Arruda–Boyce model is a hyperelastic constitutive model used to describe the mechanical behavior of rubber and other polymeric
Arruda–Boyce_model
(physics) Finite strain theory Continuum mechanics Hyperelastic material Cauchy elastic material Critical plane analysis J. Bonet and R. W. Wood, Nonlinear
Alternative_stress_measures
Belgian mathematician
negative Poynting effect? The role of adscititious inequalities in hyperelastic materials". Proceedings of the Royal Society A: Mathematical, Physical and
Alain_Goriely
trajectory Hypercharge Hyperchromicity Hypercompact stellar system Hyperelastic material Hyperfine structure Hypergravity Hyperlens Hypernetted-chain equation
Index_of_physics_articles_(H)
a scalar "elastic potential" function. Materials that are conservative in this sense are called hyperelastic or "Green-elastic". R. W. Ogden, 1984, Non-linear
Cauchy_elastic_material
Synthetic material used for protection
flexible polymeric material that is composed of linkages made out of polyurethane and polyurea compounds. Due to its hyperelastic properties, it is capable
Polyurethane_urea_elastomer
Mathematical model for describing material deformation under stress
derive the stress-strain relations of many solids, particularly hyperelastic materials. These derivatives are ∂ λ i ∂ C = 1 2 λ i N i ⊗ N i = 1 2 λ i
Finite_strain_theory
Italian mathematician and academician
materiali iperelastici" [On the stress power and on the isotropy of hyperelastic materials], Rendiconti del Seminario Matematico della Università di Padova
Dionigi_Galletto
American physical chemist (1925–2024)
of the Williams–Landel–Ferry equation, and for a particular form of hyperelastic energy function, the Valanis-Landel form. Landel was born in Pendleton
Robert_F._Landel
Chemical compound
Simple Rate–Temperature Dependent Hyperelastic Model Applied to Neoprene Rubber". Journal of Dynamic Behavior of Materials. 6 (3): 336–347. Bibcode:2020JDBM
Neoprene
Polymer harvested from certain trees
exhibits the Mullins effect and the Payne effect and is often modeled as hyperelastic. Rubber strain crystallizes. Because there are weakened allylic C–H bonds
Natural_rubber
Surname list
Corporation Alysia Yeoh, Batgirl character introduced in 2011 Yeoh (hyperelastic model): a material model for rubbers named after O.H. Yeoh Yeo, surname Hanks
Yeoh
reduction in fracture propagation speed, depending on whether the material undergoes hyperelastic stiffening or softening, respectively. Buehler, Markus J.;
Characteristic energy length scale
Characteristic_energy_length_scale
Substance-specific relation between two physical quantities
vibrations or shear stresses in machines). Hyperelastic The applied force induces displacements in the material following a strain energy density function
Constitutive_equation
Software for finite element analysis
package has an extensive range of material models such as elastomeric (rubberlike) and hyperelastic (soft tissue) material capabilities. Here are some animated
Abaqus
Smart material systems
visco-hyperelastic behavior. Models that describe large strains and viscoelasticity are required for the calculation of such actuators. Materials used
Dielectric_elastomers
Group of genetic connective tissues disorders
and blue sclerae. Classic symptoms, such as hypermobile joints and hyperelastic skin, are also often seen. It has two types. Type 1 occurs due to variations
Ehlers–Danlos_syndrome
cracks by Yang. Recent progress in the theoretical understanding of hyperelasticity in dynamic fracture has shown that supersonic crack propagation can
Supersonic_fracture
English scientist (1927-2012)
needed] Gent discovered the Fletcher-Gent effect and developed the Gent hyperelastic model. He was involved in the investigation of the O-ring failure in
Alan_Neville_Gent
Microstructure of natural materials
Sheng (2019). "Hyperelastic phase-field fracture mechanics modeling of the toughening induced by Bouligand structures in natural materials". Journal of
Bouligand_structure
Award for contributions to rubber science
Mooney, developer of the Mooney viscometer and of the Mooney-Rivlin hyperelastic law. The award consists of an engraved plaque and prize money. The medal
Melvin Mooney Distinguished Technology Award
Melvin_Mooney_Distinguished_Technology_Award
Iranian-American scientist
best known for his research into the potential applications of smart materials in biomedical engineering. He is professor emeritus of the mechanical
Mohsen_Shahinpoor
It is satisfied by a large class of hyperelastic stored energy densities, such as Mooney-Rivlin and Ogden materials. The notion of polyconvexity is related
Polyconvex_function
Three-dimensional homogeneous flattening of a body
perpendicularly. For soft materials, such as rubber, a strain state of pure shear is often used for characterizing hyperelastic and fracture mechanical
Pure_shear
Italian-Canadian university professor and researcher
large thickness deformations and are described as incompressible and hyperelastic. This interest was expanded into the experimental and numerical study
Marco_Amabili
Mechanical phenomenon where twisting forces cause sudden structural deformation
"Pulling actuation enabled by harnessing the torsional instability of hyperelastic soft rods". Extreme Mechanics Letters. 55 101807. Bibcode:2022ExML..
Torsional_instability
Method of examining cell surfaces at the molecular level
(2017-02-01). "Recovery of cellular traction in three-dimensional nonlinear hyperelastic matrices". Computer Methods in Applied Mechanics and Engineering. Special
Traction_force_microscopy
he commented even if "one idealized the adhesive as a perfectly elastic material there appeared to be no body of mathematical theory which would provide
Ronald_Rivlin
Object in differential geometry
753 Elzanowski, M.; Epstein, M. (1985), "Geometric characterization of hyperelastic uniformity", Archive for Rational Mechanics and Analysis, 88 (4): 347–357
Torsion_tensor
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