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Despite its obvious contradiction, we assume infinite material growth on a finite planet.
The dependence of the modulus of elasticity and the thermal conductivity on the reference temperature in generalized thermoelasticity for an infinite material with a spherical cavity, J. Appl.
The results show that the radial stress at cavity wall is not a constant during the cavity-expansion process in finite concrete with radially elastic confinement, which is different from the steady spherical cavity-expansion of infinite material in which the radial stress at cavity wall is a constant with constant cavity-expansion velocity.
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A heat conduction problem of the type (1.1) to (1.4) for a semi-infinite material was analyzed in [5, 6], where results on existence, uniqueness and asymptotic behavior for the solution were obtained.
A non-classical initial and boundary value problem for a non-homogeneous one-dimensional heat equation for a semi-infinite material with a zero temperature boundary condition is studied.
We consider a one-dimensional isotropic and homogeneous medium with one inaccessible boundary (semi-infinite material) under the effects of a temperature controller device which depends on the heat flux at the accessible boundary (fixed boundary), when the initial distribution of temperature is known and the temperature at the accessible boundary is constant in time.
A surface wave can be guided by the interface of two semi-infinite materials in contact if one, at least, of these two materials is piezoelectric.
The interaction of periodically distributed parallel cracks in an infinite anisotropic material subjected to a concentrated load is examined.
Dynamic response due to impulse excitation also is shown to capture the infinite periodic material dynamical characteristics.
Finally, steady-state vibration analyses are conducted on a finite fully periodic structure revealing a conformity in the natural frequency spread to the frequency band layout of the infinite periodic material.
Dominant speeds in the scattered wave field within the same finite set of unit cells are observed to match those of phase and group velocities of the infinite periodic material within the most active pass band.
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