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首页> 外文期刊>Applied Mathematical Modelling >Two-temperature Green-Naghdi theory of type Ⅲ in linear thermoviscoelastic anisotropic solid
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Two-temperature Green-Naghdi theory of type Ⅲ in linear thermoviscoelastic anisotropic solid

机译：线性热粘弹性各向异性固体中Ⅲ型的两温格林纳格理论

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摘要

The reciprocal theorem is proved and the variational principle is established for the linear two-temperature Green-Naghdi theory of type Ⅲ in an anisotropic and inhomogeneous thermoviscoelastic solid. A proof of a uniqueness theorem for thermoviscoelasticity, without restrictions imposed on the relaxation or thermal conductivity tensors, except symmetry conditions, is given. The constitutive equations are derived for the linear two -temperature Green-Naghdi thermoviscoelasticity theory of type Ⅲ, and the time-independence of the conductivity tensors k_(ij) and k_(ij)~* is proved. An application is given for isotropic thermoviscoelastic solid and the results are presented graphically. The curves of the stress and temperature distributions are more uniform and the thermodynamic temperature is smaller in magnitude relative to the one-temperature case.
机译：证明了互逆定理，并为各向异性且非均匀的热粘弹性固体中的Ⅲ型线性两温格林-纳格第理论建立了变分原理。给出了热粘弹性唯一定理的证明，除了对称条件外，没有对松弛或导热张量施加任何限制。推导了Ⅲ型线性两温格林-纳格迪热粘弹性理论的本构方程，证明了电导率张量k_（ij）和k_（ij）〜*的时间独立性。给出了各向同性热粘弹性固体的应用，并以图形方式显示了结果。相对于单温情况，应力和温度分布的曲线更均匀，并且热力学温度的幅度较小。

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