Donor challenge: Your generous donation will be matched 2-to-1 right now. Your $5 becomes $15! Dear Internet Archive Supporter,. I ask only once a year. Theory of Linear Viscoelasticity. [D.R. Bland] on *FREE* shipping on qualifying offers. Theory of Linear Viscoelasticity. [hardcover] Bland, D.R. [Jan . David Russell Bland taught at the Cranfield Institute of Technology, now Cranfield University, in the United Kingdom. His other books include Wave Theory and.
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Pergamon Press, New York. The Theoretical Mechanics Perspective. Materials Sciences and ApplicationsVol. The present review and analysis paper is intended as a theoretical mechanics complement covering mathematical and physical modeling of a single original elastic and of six time and process i.
Viscoelazticity implications and consequences of such models on material characterization are analyzed and summarized. Such non-uniqueness of viscoelastic PRs renders them unsuitable as universal material descriptors.
Analytical formulations and experimental measurements also examine the physical impossibility of instantaneously achieving time independent loads or strains or their rates thus making certain PR definitions based on constant state variables, while mathematically valid, physically unrealistic and unachievable.
Due to the process dependent PRs, i. Additionally and independently, the required double convolution integral construction of linear viscoelastic constitutive relations with the inclusion of PRs is cumbersome analytically and computationally needlessly highly CPU intensive.
The theory of linear viscoelasticity
Furthermore, there is no theoretical fundamental hint as to what loading path is required to produce a unique universal viscoelastic PR definition necessary for formulating a PR based constitutive relation or an EVCP protocol.
The analysis associated with an additional Class VII viscoelastic PR establishes it as a universal representation which is loading path and strain independent while still remaining time dependent. This Class PR can be the one used if it is desired to express constitutive relations in terms of PRs, subject to the caveat applying to all PR Classes regarding the CPU intensiveness in the time space due to triple product and double convolution integral constitutive relations. The mathematical model of instantaneous initial loading paths, based on Heavi-side functions, is examined in detail and shown to lead to infinite velocities and accelerations.
Additionally, even if non-instantaneous gradual loading functions are employed the resulting PRs are still load and load history dependent.
The Theory of Linear Viscoelasticity – D. R. Bland – Google Books
Gland, they represent specialized PR responses applicable and limited to those particular load and history combinations. Although the analyses contained herein are generalized to non-homogeneous linear viscoelastic materials, the main focus is on PR time and process dependence.
The viscoelastixity material results and conclusions presented herein apply equally to homogeneous viscoelasticity and per se do not influence the results or conclusions of the analytical development regarding viscoelastic PRs. In short, these PR analyses apply to all linear viscoelastic material characterization. Otz, James Hassett, Ines Otz.