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General Theory of Three‐Dimensional Consolidation
The settlement of soils under load is caused by a phenomenon called consolidation, whose mechanism is known to be in many cases identical with the process of squeezing water out of an elasticporousExpand
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  • 577
  • PDF
Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range
  • M. Biot
  • Materials Science
  • 1 March 1956
A theory is developed for the propagation of stress waves in a porous elastic solid containing compressible viscous fluid. The emphasis of the present treatment is on materials where fluid and solidExpand
  • 6,078
  • 327
MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA
A unified treatment of the mechanics of deformation and acoustic propagation in porous media is presented, and some new results and generalizations are derived. The writer's earlier theory ofExpand
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  • 193
  • PDF
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range
  • M. Biot
  • Materials Science
  • 1 March 1956
The theory of propagation of stress waves in a porous elastic solid developed in Part I for the low‐frequency range is extended to higher frequencies. The breakdown of Poiseuille flow beyond theExpand
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  • PDF
Thermoelasticity and Irreversible Thermodynamics
A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in aExpand
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  • 85
  • PDF
THE ELASTIC COEFFICIENTS OF THE THEORY OF CONSOLIDATION
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THEORY OF ELASTICITY AND CONSOLIDATION FOR A POROUS ANISOTROPIC SOLID
The author's previous theory of elasticity and consolidation for isotropic materials [J. Appl. Phys. 12, 155–164 (1941)] is extended to the general case of anisotropy. The method of derivation isExpand
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  • 79
  • PDF
Mechanics of Incremental Deformation
This book embodies an approach to non-linear elasticity which marks a fundamental departure from classical and current trends. The basic theory was first published between the years 1934 and 1940 inExpand
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  • 51
Generalized Theory of Acoustic Propagation in Porous Dissipative Media
The theory of acoustic propagation in porous media is extended to include anisotropy,viscoelasticity, and solid dissipation. A more refined analysis of the relative motion of the fluid in the poresExpand
  • 798
  • 42
Surface instability of rubber in compression
  • M. Biot
  • Materials Science
  • 1 March 1963
The previously derived expressions for the incremental elastic coefficients of an isotropic medium under initial stress are applied to rubbertype elasticity. As a corollary an exact theory isExpand
  • 187
  • 33
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