| dbo:abstract |
A Rivlin–Ericksen temporal evolution of the strain rate tensor such that the derivative translates and rotates with the flow field. The first-order Rivlin–Ericksen is given by where is the fluid's velocity and is -th order Rivlin–Ericksen tensor. Higher-order tensor may be found iteratively by the expression The derivative chosen for this expression depends on convention. The upper-convected time derivative, , and are often used. (en) 里夫林－埃里克森张量（英語：Rivlin–Ericksen tensor）在连续介质力学中表示应变张量随时间的变化。一阶里夫林－埃里克森张量定义为 其中，表示质点速度，因而为速度梯度张量。 n阶里夫林－埃里克森张量则可以通过递归来定义： 其中时间导数可采用不同定义，常见的包括上随体导数（upper-convected time derivative）、下随体导数（lower-convected time derivative）、耀曼导数（Jaumann derivative）等。 (zh) |
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dbr:Upper-convected_time_derivative dbr:Strain-rate_tensor dbc:Fluid_dynamics dbc:Non-Newtonian_fluids dbc:Multivariable_calculus dbr:Jaumann_derivative dbr:Lower-convected_time_derivative |
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| rdfs:comment |
A Rivlin–Ericksen temporal evolution of the strain rate tensor such that the derivative translates and rotates with the flow field. The first-order Rivlin–Ericksen is given by where is the fluid's velocity and is -th order Rivlin–Ericksen tensor. Higher-order tensor may be found iteratively by the expression The derivative chosen for this expression depends on convention. The upper-convected time derivative, , and are often used. (en) 里夫林－埃里克森张量（英語：Rivlin–Ericksen tensor）在连续介质力学中表示应变张量随时间的变化。一阶里夫林－埃里克森张量定义为 其中，表示质点速度，因而为速度梯度张量。 n阶里夫林－埃里克森张量则可以通过递归来定义： 其中时间导数可采用不同定义，常见的包括上随体导数（upper-convected time derivative）、下随体导数（lower-convected time derivative）、耀曼导数（Jaumann derivative）等。 (zh) |
| rdfs:label |
Rivlin–Ericksen tensor (en) 里夫林－埃里克森张量 (zh) |
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wikidata:Rivlin–Ericksen tensor dbpedia-zh:Rivlin–Ericksen tensor https://global.dbpedia.org/id/2NMfG |
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