Step load moving with superseismic velocity on the surface of an elastic-plastic half-space

by Alva T. Matthews in [New York]

Written in English
Published: Pages: 115 Downloads: 763
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Subjects:

  • Elastic solids.,
  • Elastic waves.,
  • Differential equations -- Data processing.

Edition Notes

Statementby Alva T. Matthews.
Classifications
LC ClassificationsQA935 .M375
The Physical Object
Paginationix, 74 p., 75-115 l.
Number of Pages115
ID Numbers
Open LibraryOL5715279M
LC Control Number70294684

Two blocks are attached by a compressed spring and are initially held at rest on a frictionless surface. The blocks are the released simultaneously. If block 1 has four times the mass of block 2, which of the following quantities is the same for both blocks as the spring pushed the . Average velocity = change in position time taken = 25 m - 4 m s - s If the load on the wire is increased, If the car is moving at constant velocity, the total horizontal force is zero; so F = D, the magnitude of the air resistance (drag) Size: KB. Chapter 3 Kinetics of Particles Question 3–1 A particle of mass m moves in the vertical plane along a track in the form of a circle as shown in Fig. P The equation for the track is r = r0 cosθ Knowing that gravity acts downward and assuming the initial conditions θ(t = 0) = 0 and θ(t˙ = 0) = θ˙0, determine (a) the differential equation of motion for the particle and (b) the force File Size: KB. the ball’s velocity immediately before it hits the ground. 12 m/s 1 m Solution: (a) Find the height above the ground mg(1m−h) = 0 − 1 2 mv2 0, h = v0 2 2g +1m= (10 m/s)2 ( m/s2) +1m= m (b) When the ball returns to the same level, the velocity must be equal to the initial velocity (but now it is moving downward) because the net.

A 35 kg crate undergoes a horizontal acceleration of on a level surface when pulled by a N force. What is the coefficient of kinetic friction between the crate and the surface? Solution. Problem A block of mass kg is sliding at an initial velocity of m/s along horizontal surface to the right. Chapter 4. Force and Motion. Force may be defined as the cause of motion and a force is applied to an object, the object either moves or changes shape or most cases, it is not possible to detect the deformation by naked eyes at the molecular or atomic level. Q4. In three situations, a briefly applied horizontal force changes the velocity of a hockey puck that slides over frictionless ice. The overhead views of Fig. indicate, for each situation, the puck’s initial speed v i, its final speed v f, and the directions of the corresponding velocity vectors. Rank theFile Size: 40KB. The equations predict that the moving particle will come to rest (v 1 = 0) and the initially stationary particle will "steal" its velocity (v 2 = v). In effect, the two particles trade velocities. This happens (Try it!). Case 1: m 1 is much greater than m 2. What happens if a .

A kg load of bricks hangs from one end of a rope that passes over a small, frictionless pulley. A kg counterweight is suspended from the other end of the rope, as shown in Fig. The system is released from rest. a) Draw a free-body diagram for the load of . Physics / Labs ~ General Guidelines The Physics and labs will be divided into small groups (so you will either be working with one lab partner, or, for the larger classes, in a small group). You and your lab partner(s) will work together, but you each must submit an individual lab report, with a discussion of the labFile Size: 1MB. (’Force,’momentum,’and’speed’’ (’Free’body(diagrams’ A block sits at rest on a frictionless surface. Which of the following sketches most closely resembles the correct free-body diagram for all forces acting on the block? (Each red arrow velocity to the right on the frictionless surface. Statics is the study of the forces keeping an object in place. Forces, such as gravity, act upon or within an object even if that object is not moving. Static equations are often used in truss problems. To solve a static equation, engineers use a free body diagram. R Upper step h P Lower step 1. The above diagram shows a beam with curvature.

Step load moving with superseismic velocity on the surface of an elastic-plastic half-space by Alva T. Matthews Download PDF EPUB FB2

The plane strain problem of a step load moving with uniform superseismic velocityV >c p on the surface of a half-space is considered for an elastic-plastic material obeying the von Mises Cited by: 2. The plane strain problem of a step load moving with uniform superseismic velocityV >cp on the surface of a half-space is considered for an elastic-pla.

The two-dimensional steady-state problem of the effect of a step pressure traveling with superseismic velocity on the surface of a half-space is treated for an elastic-plastic material. The plasticity condition selected is a function of the first and second invariants of the stress tensor, and is suitable for a granular medium where inelastic deformations are due to internal slip subject to Coulomb by: 1.

Volume 4, Issue 2, FebruaryPages Moving step load on the surface of a half-space of granular material * *. step load, the y- and z-axes are normal to the surface in and out of the plane of the figure, respectively. The analysis considers the case of plane strain, cz = 0, when the velocity V of the step load is superseismic, i.e.

larger than the largest elastic or plastic wave velocity, which is the one of elastic P-waves in the material. The two dimensional steady-state problem of the effect of a step pressure traveling with superseismic velocity on the surface of a half-space is treated for an elastic-plastic material.

The plasticity condition selected is suitable for a granular medium where inelastic deformations are due to internal slip subject to Cbulomb friction. The plane strain problem of a step load moving with uniform superseismic velocity V > cp on the surface of a half-space is considered for an elastic-plastic material obeying the von Mises yield.

THE EFFECT OF A MOVING LOAD ON A VISCOELASTIC HALF-SPACE (Book) 1 edition published in in English and held by 3 libraries worldwide Abstract: Cole and Huth have studied the effect of a line load moving with constant velocity V along the surface of an elastic half-space.

The present paper treats the equivalent problem for a viscoelastic. Step Load Moving with Superseismic Velocity on the Surface of a Half Space of Granular Material.

Strained spiral vortex model for turbulent £ne structure. Structure and strength of dislocation junctions: An atomic level analysis. Superseismic Loading and Shock Polars: An Example of Fluid-Solid Coupling form solution describing the effect of a step-load.

o v er a half plane is provided by The free surface velocity. of a step Dressure, Fig. 1, rrogressing with a superseismic velocity V on the surface of a half-space has been studied for an elastic-plastic material subject to the von Mises yield condition 2 J2 =0 (i) where k is the yield stress in shear and J2 is the invariant 12 1 (2) 2 = sijsij The present report considers the more general problem.

Exponentially Decaying Pressure Pulse Moving With Constant Velocity on the Surface of a Layered Elastic Material (Superseismic Layer, Subseismic Half Space) J. Appl. Mech (March, ) Null-Field Approach for the Multi-inclusion Problem Under Antiplane ShearsCited by: Mass # velocity: the sum of the products of mass and the x-component of velocity is the same before and after the collision: kg1+ m>s2 + kg = kg + kg1+ m>s2.

Experiment 2. Cart a ( kg) moving right at m/s collides with cart B. The paper considers a concentrated point force moving with constant velocity and oscillating with constant frequency in an unbounded homogeneous anisotropic elastic 2D medium.

Acknowledgment The research support of the National Science Foundation, Solid Mechanics Program, and of the NSF Materials Research Laboratory at Brown University is gratefully acknowledged. References [1] H.H. Bleich and A.T. Matthews, "Step load moving with superseismic velocity on the surface of an elastic-plastic half space", Internat.

: L.B. Freund, A.S. Douglas. Impact of a rigid sphere moving at constant velocity on elastic homogeneous half-space was analyzed by the finite element method. Frictionless dynamic contact was modeled with special contact. The ground shock response in the superseismic range of a one megation air burst on a homogeneous half-space of a soil is considered.

Each of the three types of models, was fitted to laboratory. The same force F pushes in three different ways on a box moving with a velocity v, as the drawings show. Rank the work done by the force F in ascending order (smallest first): A. (A, B, C) but in physics the definition of work requires that a force causes a For the next step File Size: KB.

An approximate solution is given for the effect of an exponentially decaying pressure pulse traveling with superseismic velocity on the surface of a half-space. The half-space is an elastic-plastic material of the von Mises type. The effect of a step wave for. mal load moving at constant speed in a straight line over the surface.

The results, obtained by Fourier transform methods, are valid for any depth, load speed, or elastic constants and could be used for an evaluation of the subsurface stresses and Size: 2MB.

An approximate solution is given for the effect of an exponentially decaying pressure pulse traveling with superseismic velocity on the surface of a half space. The material of the half space is an elastic-plastic model of a material having internal Coulomb friction.

The yield condition selected may be suitable for a granular material. Figure (3) indicates the half-space with a system of stationary Cartesian coordinates.

The x-axis is in the direction of motion of the stop load, the y- and z-axes are normal to the x-axis in and out of the plane of the figure, respectively.

The analysis considers the case of plane strain, Czz a 0, when the velocity V of the step load is larger. [5) the effect of a step load moving with superseismic velocity is determined in A the present report for an elastic-plastic material obeying the von Mises yield condition.

The identical problem, for a yield condition suitable for materials with internal slip subject to Coulomb friction, is concurrently being treated for publication elsewhere (6].File Size: 3MB. Science - Velocity, Acceleration, and Force. STUDY.

PLAY. What is speed. a) distance b) distance divided by time c) time. b) distance divided by time. car moving fast in a Southernly direction c) plane travels mi/h toward New York d) all are velocities. b) car moving fast in a Southernly direction.

Exponentially Decaying Pressure Pulse Moving With Constant Velocity on the Surface of a Layered Elastic Material (Superseismic Layer, Subseismic Half Space) Closure to “Discussion of ‘Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface’” (, ASME J.

Appl. Mech., 37, p. ) “Axisymmetric. Contact mechanics K. Johnson This treatise is concerned with the stresses and deformation of solid bodies in contact with each other, along curved surfaces which touch initially at a point or along a line.

It means that a system of mass m kg while moving with a velocity V1 m/s, does 1/2mV12 joules of work before coming to rest. So in this state of motion, the system is said to have a kinetic energy given as; K.E.

= 1/2mv12 N.m However, when the mass undergoes a change in its velocity from velocity V1 to V2, the change in kinetic energy of the. For an inline slider-crank mechanism, the length of the crank and connecting rod are 3 m and 4 m, respectively.

At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is 1 m/s, the magnitude of angular velocity (upto 3. 3 The velocity at B is given as: (drB/dt) = (drA/dt) + (drB/A/dt)or vB = vA + vB/A RELATIVE MOTION ANALYSIS: VELOCITY = + Since the body is taken as rotating about A, vB/A = drB/A/dt = ωx rB/A Here ωwill only have a k component since the axis of rotation is perpendicular to the plane of Size: KB.

The impact of a rigid sphere on a homogeneous, isotropic elastic half-space in the absence of friction and adhesion is considered.

The influence of the superseismic stage immediately following the moment of first contact upon the impact process is investigated in the frame of the Hertzian impact theory.

The first order asymptotic approximation for the contact force in a three-dimensional. Problem The horizontal surface is smooth. The N box is at rest when the constant force F is applied. Two seconds later, the box is moving to the right at 20 m/s. Determine F. F 20 Solution: We use one governing equation and one kinematic relation F x: F cos20 = 30 N.

2 a, v = (20 m/s) = a(2s). Solving, we find a = 10 m/s2, Size: 4MB.A book is lying at rest on a table. The book will remain there at rest because: From rest, we step on the gas of our Ferrari, providing a force F for 4 secs, speeding it up to a final speed v.

A block of mass m rests on the floor of an elevator that is moving upward at constant speed. What is the relationship between the force due to.Strona główna Dynamic Behavior of Materials.

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