A Molecular Theory of Filler-Reinforcement Based upon More Accurate Internal Deformation

Yoshiyasu SATO

doi:10.2472/jsms.12.371

A Molecular Theory of Filler Reinforcement Based upon the Conception of Internal Deformation (A Rough Approximation of the Internal Deformation)

Rubber Chemistry and Technology ◽

10.5254/1.3539632 ◽

1963 ◽

Vol 36 (4) ◽

pp. 1081-1106 ◽

Cited By ~ 63

Author(s):

Yoshiyasu Sato ◽

Junji Furukawa

Keyword(s):

Mechanical Properties ◽

Surface Effect ◽

Molecular Theory ◽

Theoretical Treatment ◽

Suitable Model ◽

Cavitation Effect ◽

Rough Approximation ◽

Internal Mechanism ◽

Internal Deformation ◽

Filler Reinforcement

Abstract A molecular theory is presented in this paper which gives a method of analysis for the mechanical properties of filler-reinforced elastomers, based upon the concept of the internal deformation and the statistical theory of rubberlike elasticity. By using a suitable model and a few new concepts a proper analysis for such a heterogeneous system is obtained. From the theory the internal mechanism of filler reinforcement is understood. It is made clear that reinforcement consists of three effects: the volume effect, the surface effect, and the cavitation effect. From the theory, formulae for the tension, swelling tension, Young's moduli, local stress distribution, strain birefreingence, condition for swelling equilibrium, and so on are derived. It has long been recognized that rubbery substances and plastic materials are reinforced by incorporation of suitable powdery substances (reinforcing fillers) which improve their mechanical properties such as elastic modulus, hardness, stiffness, resilience, solvent resistance, plastic viscosity, tensile strength, tear resistance, etc. Although numerous attempts have been made to clarify and systematize the internal mechanism of filler reinforcement, there is at present no distinct picture of the mechanism, much less a satisfactory theoretical treatment of the phenomena.

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A Molecular Theory of Filler Reinforcement Based on the Concept of Internal Deformation

Rubber Chemistry and Technology ◽

10.5254/1.3539978 ◽

1962 ◽

Vol 35 (4) ◽

pp. 857-876 ◽

Cited By ~ 35

Author(s):

Yoshiyasu Sato ◽

Junji Furukawa

Keyword(s):

Surface Effect ◽

Local Stress ◽

Volume Effect ◽

Molecular Theory ◽

Suitable Model ◽

Cavitation Effect ◽

Swelling Equilibrium ◽

Internal Mechanism ◽

Internal Deformation ◽

Filler Reinforcement

Abstract A molecular theory is presented which gives an analytical method to describe filler-reinforced heterogeneous elastomers and the cavitation therein caused by elongation. By using a suitable model and a new concept a proper method of analysis for a heterogeneous system is obtained. By means of this method the overall internal mechanism of filler reinforcement can be understood; especially it is made clear that reinforcement consists of three effects: a volume effect, a surface effect and a cavitation effect. Also, formulas for several main quantities are derived: tension, swelling tension, Young's modulus, local stress distribution, condition for swelling equilibrium, etc.

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MOLECULAR THEORY OF ATOMIC COLLISIONS WITH PROPER SCATTERING BOUNDARY CONDITIONS

Le Journal de Physique Colloques ◽

10.1051/jphyscol:1989112 ◽

1989 ◽

Vol 50 (C1) ◽

pp. C1-111-C1-118 ◽

Cited By ~ 1

Author(s):

G. HOSE

Keyword(s):

Boundary Conditions ◽

Molecular Theory ◽

Atomic Collisions

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Molecular Theory of Evolution

10.1007/978-3-642-70544-1 ◽

1983 ◽

Cited By ~ 38

Author(s):

Bernd-Olaf Küppers

Keyword(s):

Molecular Theory ◽

Theory Of Evolution

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The Prediction of Microemulsion Properties: Molecular Theory and the Lattice Fluid Self-Consistent Field Theory

Tenside Surfactants Detergents ◽

10.3139/113.100359 ◽

2008 ◽

Vol 45 (1) ◽

pp. 21-24

Author(s):

S. Blagojević ◽

N. Potkonjak ◽

M. Ilić ◽

B. Kolarić

Keyword(s):

Field Theory ◽

Molecular Theory ◽

Lattice Fluid ◽

Consistent Field ◽

Self Consistent ◽

Self Consistent Field ◽

Self Consistent Field Theory

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The Wathaman batholith: largest known Precambrian pluton

Canadian Journal of Earth Sciences ◽

10.1139/e84-113 ◽

1984 ◽

Vol 21 (10) ◽

pp. 1082-1097 ◽

Cited By ~ 30

Author(s):

S. L. Fumerton ◽

M. R. Stauffer ◽

J. F. Lewry

Keyword(s):

Shear Zones ◽

Island Arc ◽

Pacific Rim ◽

Early Proterozoic ◽

Northern Saskatchewan ◽

Internal Deformation

The Early Proterozoic Wathaman batholith, in northern Saskatchewan and Manitoba, is a 900 km long, megacrystic granite–granodiorite intrusion that straddles the junction between ensialic miogeoclinal and probably ensimatic eugeoclinal–island-arc terranes of the "Trans-Hudson Orogen," of the western Churchill Province. Although the largest Precambrian batholith known, it is, apart from marginal complexities, remarkably homogeneous throughout and, unlike comparably sized and situated Phanerozoic batholiths, shows no evidence of multiple intrusion, nor does it have comagmatic early mafic phases. However, it may be considered as just one phase of a larger batholithic belt that also includes numerous smaller plutons. Taken as a whole the composite batholithic belt is similar in many aspects to Mesozoic Pacific rim batholithic belts, and like them probably was emplaced during plate collision.The batholith is affected by pervasive internal deformation, is bounded on the northwest by major blastomylonite zones, and is transected internally by splaying shear zones. It is a mid- to late-synkinematic Hudsonian intrusion, emplaced within a markedly compressional, crustal regime. On the basis of petrological, geochemical, and isotopic criteria the batholith is an "I-type" intrusion, but the origin of the magma and the emplacement mechanisms are still unresolved problems.

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