Vladi S. Travkin, 
Natalya N. Bolotina 
The Annals of Frontier and Exploratory Science
Vladi S. Travkin,
Natalya N. Bolotina
Hierarchical Scaled Physics and Technologies (HSPT), Rheinbach, Germany,
Denver, CO, USA
University of Applied Sciences, Rheinbach, Germany
up to
INTRODUCTION
The problem here was not that the prior modeling attempts on elasticity in Heterogeneous media were absent or lack of something - of important features (which was still the case also), but that the prior modeling theories - even when had been used the correct seems language in them -
could not bring the correct models and governing equations.
Mostly because of the two reasons:
1) Biologists, biophysicists, biological mathematicians, etc. cannot model the porous media correctly - even when they used for this purpose the known linear theory of known in HSP-VAT authors as close as possible. The matter is that there was no correct 2-scale porous media transport before HSP-VAT, because there was no correct scaleportation theory and scaleportation mathematics as well as of scaled mathematics. And they don't know - What is it? up to now. What governments are paying for?
2) The second reason for inadequacy of previous attempts, theories - because there was no heterogeneous elasticity theory and modeling before those had been generated by us in 1994-95. Still were not published until the times - in ~2011 - 2013. Yes, the strong statement, while we are making this kind of statements since the second half of the 1980s!
All other theories are either wrong bluntly or are imitating the HSP-VAT (V.Kushch and co-authors, some other workers we don't even care to mention works close to plagiarism), see for more explanations in:
Travkin, V.S. and Bolotina, N.N., "How not to Scale-Down...or -Up.. ..Analysis of Current Studies on Scaled, Collective Phenomena in Biology Fields Presented as the One-Scale Concepts," "http://travkin-hspt.com/bio/biopapersop.htm"
Well, some people might cry about "personal attacks" as some reviewers liked to write in the 90s when felt that their research was under a threat. While it is obviously not true - we are pursuing no personal usually tiny areas of research, but only the scientific, nature prescribed facts, knowledge of the broad meaning.
That means the great money for biomechanics of cell and tissue throughout 1995- 2013 has been spent for low or even nothing gained. While the paper as a material can keep everything that printed on it.
That is why it can be said that the article to which the link is presented for below is the first of this kind in biomechanics, biophysics on Heterogeneous scaled elasticity for biomedia - those are always Heterogeneous:
Travkin, V.S. and Bolotina, N.N., "Principles, Biological and Mathematical Modeling For Elasticity, Poroelasticity of Soft Biomedia, Polymers with Fluids Mechanics in the Bioporous Two-scale Media," "http://travkin-hspt.com/biophysics/pdf/61BEl-BioHtElasticity-5.1HSPT-f.pdf"
1. Travkin, V.S., "Concepts: HSP-VAT Conceptual Vision and Methods in Application to Continuum Mechanics," "http://travkin-hspt.com/elastic/conceptscm/conceptscm," (2008)
2. Travkin, V.S., "Concepts: HSP-VAT Conceptual Vision and Methods Applied to Biology," "http://travkin-hspt.com/bio/conceptsbio/conceptsbio.htm" (2010)
3. Travkin, V.S., "What is in use in Continuum Mechanics of Heterogeneous Media as of Through ~1950 - 2005?" - "http://travkin-hspt.com/elastic/whatsupf/whatsup.htm" (2005-2006)
4. Travkin, V.S., "Who Are in the Continuum Mechanics Continuing to Dwell in an Ivory Tower? Who Tries to Re-Invent the Wheel? What Are the Damage and Financial Loss?," "http://travkin-hspt.com/elastic/ivorytower/ivorytower.htm" (2006)
5. Travkin, V.S. and Bolotina, N.N., "How not to Scale-Down...or -Up.. ..Analysis of Current Studies on Scaled, Collective Phenomena in Biology Fields Presented as the One-Scale Concepts," "http://travkin-hspt.com/bio/biopapersop.htm" (2009)
6 Travkin, V.S. and Bolotina, N.N., "Principles, Biological and Mathematical Modeling For Elasticity, Poroelasticity of Soft Biomedia, Polymers with Fluids Mechanics in the Bioporous Two-scale Media," "http://travkin-hspt.com/biophysics/pdf/61BEl-BioHtElasticity-5.1HSPT-f.pdf" (2011)
7. Travkin, V.S. and Bolotina, N.N., "Quantum Chemistry, Physical Chemistry, Molecular Dynamics Simulation, DFT (Density Functional Theory), and Coarse-Graining Techniques Applied in Structural, Cellular Biology, Polymer Science and Implication for Scaleportation," Journal of Alternative Energy and Ecology, No. 2, pp. 58-75, (2011a)
8. Travkin, V.S. and Bolotina, N.N., "Pseudo-Scaled and Scaled Description and Scaleportation of Inorganic and Organic Polymer and Polymer Composites Properties," Journal of Alternative Energy and Ecology, No. 1, pp. 62-77, (2011b)
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This is also the well known group of problems - still can not be resolved within the Homogeneous One-Scale Continuum Mechanics theories.
