General Solutions of the Equations of Elasticity and Consolidation for a Porous Material

1956 ◽  
Vol 23 (1) ◽  
pp. 91-96
Author(s):  
M. A. Biot
Keyword(s):  
Stress Field ◽  
Porous Material ◽  
Elastic Material ◽  
Displacement Field ◽  
Theory Of Elasticity ◽  
Isotropic Case ◽  
General Solutions ◽  
General Properties ◽  
Stress Functions

Abstract Equations of elasticity and consolidation for a porous elastic material containing a fluid have been previously established (1, 5). General solutions of these equations for the isotropic case are developed, giving directly the displacement field or the stress field in analogy with the Boussinesq-Papkovitch solution and the stress functions of the theory of elasticity. General properties of the solutions also are examined and the viewpoint of eigenfunctions in consolidation problems is introduced.

Interfacial Cracks of Antiplane Sliding Mode between Usual Elastic Materials and Quasicrystals

2007 ◽  
Vol 340-341 ◽  
pp. 453-458 ◽  
Author(s):  
Wei Chen Shi ◽  
Huan Huan Li ◽  
Qing Hai Gao
Keyword(s):  
Stress Field ◽  
Elastic Material ◽  
Displacement Field ◽  
Sliding Mode ◽  
Hilbert Problem ◽  
Interfacial Crack ◽  
Physical Space ◽  
Elastic Materials ◽  
One Dimensional ◽  
Interfacial Cracks

The present study deals with the problem of interfacial cracks of antiplane sliding mode between a usual elastic material and a one-dimensional hexagonal quasicrystal. Based on the physical facts that balance of the phason stress field is foreign to the real force in or out of quasicrystal in physical space, and the quasicrystal is bonded to a usual elastic material without both phason displacement and stress fields, the problem is described by analytic functions and attributed to find solutions of the Riemann-Hilbert problem. It is found that the stress intensity factor is not related to phason strain field, and the phason stress field does not exist. The discontinuity of phonon displacement field across crack is related to the phason displacement field because of the coupling of phonon and phason strain fields. Although there is not the phason displacement on the bonded portion of interface, it exists on the crack’s surface. The energy release rate obtained from interfacial crack’s propagating is different from that of an interfacial crack between two different pure elastic materials.

scholarly journals Evolution Pattern and Matching Mode of Precursor Information about Water Inrush in a Karst Tunnel

Water ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 1579
Author(s):  
Jie Song ◽  
Diyang Chen ◽  
Jing Wang ◽  
Yufeng Bi ◽  
Shang Liu ◽  
...  
Keyword(s):  
Rock Mass ◽  
Stress Field ◽  
Displacement Field ◽  
Water Inrush ◽  
Seepage Field ◽  
Karst Tunnel ◽  
Rock Mass Structure ◽  
Evolution Pattern ◽  
Water Blocking ◽  
Precursor Information

The water inrush of the Shangjiawan karst tunnel is used to study the evolution pattern of precursor water inrush information in water-filled caves and to further reveal the matching mode of the information. The three-dimensional numerical method FLAC3D was used to simulate the evolution process of water inrush after damage to a water-blocking rock mass structure in a water-filled cave and to obtain the evolution pattern of precursor water-inrush information caused by the damage. The results show that the multifield response to the characteristic precursor information of the water-inrush pattern after the fracture of the water-blocking rock mass follows the order of stress-field displacement-field seepage-field. Further, the matching pattern of the information shows that the stress field increased first and then decreased, the displacement field always increased, and the seepage field increased first and then decreased.

Finite Element Simulation of Molded Pulp Pallet in the Dropping Process

2013 ◽  
Vol 469 ◽  
pp. 209-212
Author(s):  
Xin Guo ◽  
Hong Wei Ji ◽  
Hai You Zheng
Keyword(s):  
Finite Element ◽  
Stress Field ◽  
Finite Element Simulation ◽  
Displacement Field ◽  
Green Material ◽  
Element Simulation ◽  
Development Prospects ◽  
Abaqus Software

Molded pulp pallet is a kind of new green material pallet which has a broad development prospects. In this paper, ABAQUS software was applied to simulate the situation that molded pulp pallet dropped from different heights in different ways. Stress field and displacement field of the pallet are obtained. Cushioning property and deformation of the molded pulp pallet were analyzed. The work of this paper could give a significant guide to design the molded pulp pallet.

Interfacial Thermal Stresses in Layered Structures: The Stepped Edge Problem

1995 ◽  
Vol 117 (2) ◽  
pp. 153-158 ◽  
Author(s):  
Wan-Lee Yin
Keyword(s):  
Stress Field ◽  
Elastic Layer ◽  
Thermal Stresses ◽  
Free Edge ◽  
Multilayered Structure ◽  
Local Geometry ◽  
Temperature Load ◽  
Edge Problem ◽  
Stress Functions ◽  
Multilayer Substrate

The intense, localized stress field produced by a temperature load in a multilayered structure may be significantly affected by the local geometry of the free edge. We examine here the stepped edge problem associated with bonding an elastic layer (silicon chip) to a single or multilayer substrate with a slightly larger length. Stress functions are introduced in various rectangular regions and the continuity of tractions are enforced across all inter-region boundaries. Furthermore, continuity of displacements is enforced across the junction of the two segments of the base laminate. The analysis results indicate that even a minute protrusion of the edge of the base laminate relative to the attached chip may cause significant changes in the peeling and shearing stresses in the end region of the interface.

Development of a Railway Track Displacement Monitoring by Using Digital Image Correlation Technique

2014 ◽  
Vol 548-549 ◽  
pp. 683-687 ◽  
Author(s):  
Lenny Iryani ◽  
Hery Setiawan ◽  
Tatacipta Dirgantara ◽  
Ichsan Setya Putra
Keyword(s):  
Digital Image Correlation ◽  
Stress Field ◽  
Digital Image ◽  
Displacement Field ◽  
Image Correlation ◽  
Railway Track ◽  
Remaining Life ◽  
Full Field ◽  
Field Displacement ◽  
Dic Technique

To avoid an unnecessary catastrophic accident due to a failure of a railway track, it is important to have a reliable condition monitoring system for the railway track. The integrity of the railway track can be assessed by monitoring the displacement field of the track, which can then be used to determine the strain and stress field. By knowing the stress history of the track and the S–N curves of the track material, the remaining life of the railway track can be predicted. In the present work, a simple system to monitor and record the displacement field of the railway track has been developed by using Digital Image Correlation (DIC) technique. The set–up to monitor the displacement field of the railway track was developed using a high speed video camera of Nikon J1 to capture the image of the railway track when the train passing through. The DIC technique was then employed off line to measure the displacement field of the 2D image captured. The results showed that the full field displacement measured by using DIC technique gives a good agreement compared to the finite element results. The full field displacement can be used to calculate the strain-stress field, and later on the remaining life assessment can be conducted based on the results.

FEM Analysis of the Unsteady Seepage during Excavation

2014 ◽  
Vol 638-640 ◽  
pp. 457-461 ◽  
Author(s):  
Ji Liang Fan ◽  
Yan Hua Ren ◽  
Yong Hong Wu ◽  
Xiu Feng Liu ◽  
Shi Chong Zhou
Keyword(s):  
Stress Field ◽  
Flow Field ◽  
Constitutive Model ◽  
Displacement Field ◽  
Fem Analysis ◽  
Field Stress ◽  
Field Displacement ◽  
Seepage Model ◽  
Stress And Deformation

The seepage is the main reason of many excavation accidents. Currently, most of the excavation designs ignore the seepage function or pay little attention on it. This paper focuses on the excavation’s stress and deformation influenced by the unsteady seepage, leading into the Van Genuchten seepage model and the Hardening-Soil constitutive model. And compare and analyze the different influences of flow field, stress field, displacement field and force caused by the steady and unsteady seepage

The steady flow of closely fitting incompressible elastic spheres in a tube

1978 ◽  
Vol 87 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Hüsnü Tözeren ◽  
Richard Skalak
Keyword(s):  
Shear Modulus ◽  
Steady Flow ◽  
Elastic Material ◽  
Displacement Field ◽  
Series Solution ◽  
Cylindrical Tube ◽  
Lubrication Theory ◽  
Flow Properties ◽  
Circular Cylindrical Tube ◽  
Neutrally Buoyant

The steady flow of a suspension of closely fitting, neutrally buoyant, incompressible and elastic spheres through a circular cylindrical tube is investigated under the assumption that lubrication theory is valid in the fluid region. A series solution giving the displacement field of an elastic incompressible sphere under axisymmetrically distributed surface tractions is developed. It is found that, for closely fitting particles, flow properties of the suspension are strongly dependent on the shear modulus of the elastic material and the velocity of the particle.

Effect of Couple-Stresses on Force Transfer Between Embedded Microfibers

1967 ◽  
Vol 1 (2) ◽  
pp. 174-187 ◽  
Author(s):  
M.A. Sadowsky ◽  
Y.C. Hsu ◽  
M.A. Hussain
Keyword(s):  
Stress Field ◽  
Couple Stress Theory ◽  
Physical Phenomenon ◽  
Lattice Parameter ◽  
Theory Of Elasticity ◽  
Crystal Lattice Parameter ◽  
Tangential Displacement ◽  
Stress Theory ◽  
Couple Stresses ◽  
Force Transfer

The present investigation is a continuation of the Weitsman problem, reference 1. The investigation is concerned with the nature of the stress field which develops in the presence of couple- stresses in composite material formed of microfibers embedded in a filler substance. The case is considered when one row consists of an infinitely long microfiber, while the second row is composed of two semi- infinite microfibers. An exact solution, based on a two-dimensional theory of elastic ity with inclusion of couple-stresses is obtained for the stress field which is activated by giving the two semi-infinite microfibers a tangential displacement of separation. The couple-stress theory gives a better representation of the actual physical phenomenon than the classical theory of elasticity. This is especially true and essentially important for bodies having a dimension comparable to the crystal lattice parameter of the material. This is believed to be the case with an elastic microfilm in bond with microfibers. The investigation led to results which are at wide variance with the Weitsman solution near x = 0 and the asymptotic solution shows the same trend as reported previously in reference num bered 2 i.e., bonding layers are dominated by boundary layer behavior throughout their entire thickness.

Study of Viscoelasto-Plastic Model with Double Yield Surface Considering Coupled Deformation and Seepage

2013 ◽  
Vol 405-408 ◽  
pp. 173-176
Author(s):  
Bi Fei Wang ◽  
Yong Quan Li
Keyword(s):  
Numerical Simulation ◽  
Finite Element ◽  
Stress Field ◽  
Numerical Method ◽  
Displacement Field ◽  
Yield Surface ◽  
Engineering Practice ◽  
Plastic Model ◽  
General Law ◽  
Double Yield

The Viscoelasto-Plastic Model with Double Yield Surface is detailed deduced. Finite element equations are introduced when the deformation is considered under Coupled Deformation and Seepage Fields. Numerical simulation is carried out during the construction of the dam. All the results calculated are in accordance with the general law of the dam. Those show that it is feasible for calculating the stress field and displacement field. The method adopted and those results gained by numerical method may provide reference to engineering practice.

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