Analysis of Engineering Structures and Material Behavior (eBook)

Josip Brnic (Autor)

eBook Download: EPUB

2018
John Wiley & Sons (Verlag)
978-1-119-32906-0 (ISBN)

Infos

Analysis of Engineering Structures and Material Behavior Professor Josip Brnic, University of Rijeka, Croatia Theoretical and experimental study of the mechanical behavior of structures under load Analysis of Engineering Structures and Material Behavior is a textbook covering introductory and advanced topics in structural analysis. It begins with an introduction to the topic, before covering fundamental concepts of stress, strain and information about mechanical testing of materials. Material behaviors, yield criteria and loads imposed on the engineering elements are also discussed. The book then moves on to cover more advanced areas including relationships between stress and strain, rheological models, creep of metallic materials and fracture mechanics. Finally, the finite element method and its applications are considered.  Key features: Covers introductory and advanced topics in structural analysis, including load, stress, strain, creep, fatigue and finite element analysis of structural elements. Includes examples and considers mathematical formulations. A pedagogical approach to the topic. Analysis of Engineering Structures and Material Behavior is suitable as a textbook for structural analysis and mechanics courses in structural, civil and mechanical engineering, as well as a valuable guide for practicing engineers.

Professor Josip Brnić, D. Sc., University of Rijeka - Faculty of Engineering, Croatia

Autor

Professor Josip Brnic, D. Sc., University of Rijeka - Faculty of Engineering, Croatia

Textauszug

Frequently Used Symbols and the Meaning of Symbols

Symbol

Meaning

A	Cross‐sectional area

A0	Initial cross‐sectional area

A1	Cross‐sectional area after deformation

Ae	Finite element area

a	Crack length

a, b, c, d, e, t

Constants in stiffness matrix

a, [a]

Polynomial matrix

[a]	Transformation matrix

a0, (ai)

Initial crack length

ab, [ab]

Polynomial matrix at the boundary of finite element

aeff	Effective crack length

af	Failure crack length

B	Strain‐displacement matrix

B, N	Parameters

b	Width of rectangular

C	Constant, contour of considered curve, compliance

C	Elasticity matrix (matrix of elastic constants), structural damping matrix

C, m	Constants in Paris equation(“m” is strain hardening coefficient)

C, n, p, q

Experimentally derived constants in Forman‐Newman –Koning equation

Cb	Generalized elasticity matrix (bending of plate)

CF , mF

Constants in Forman equation

Cijkl

Fourth‐order tensor (elasticity tensor, elastic matrix or stiffness matrix)

CVN	Charpy impact energy(specimen with V‐notch)

CS	Elasticity matrix refers to shear stresses

ce	Finite element damping matrix (local coord. System)

D

Diameter

D	Plate flexural rigidity

D, p, r

Parameters

dε	Differential operator

dAn	Differential area of an arbitrary sloping section (plane)

dAx, dAy, dAz

Differential area on x, y, z direction

da	Increase in crack length (length of crack: a)

dλ	Coefficient

E	Modulus of elasticity

Ex, Ey, Ez

Young moduli for orthotropic materials

e	Position of shear center, distance between the centroid and the neutral axis, distance

ei	Invariants of strain deviator

eij, [e]

Deviator strain tensor

F	Force (intensity)

F	Force, loading

F, [F]

Force vector, concentrated force vector

Fcr	Critical force

Fi, Mi

Nodal forces

Fm	Known components of FR

FR	Vector of structure nodal forces.

tFR	Vector of externally applied nodal forces in the considered structure at time t

Fr	Unknown components of FR

FV	Vector of volume forces

tFσ	Vector of nodal forces that corresponds to the element stresses at the time t

f	Yield function, crack opening parameter (in Forman‐Newman‐de Koning Equation)

fe	Finite element nodal forces vector (local coord. system)

fij	Dimensionless function

f v, fx, fy, fz

Volume force vector and components forces(unit)

G	Shear modulus (modulus of rigidity)

Gxy, Gyz, Gzx

Shear moduli for orthotropic materials

h	Height of rectangular

Imin	Minimum moment of inertia

Ip	Polar moment of inertia

It	Torsion moment of inertia

Ix, Iy

Axial moment of inertia (area moment of inertia about an in‐plane axis)

Ixy	Centrifugal/deviation moment of inertia(product of areas)

I1, I2

Principal (principal centroidal) moments of inertia

I1, I2, I3

Stress tensor invariants

imin	Minimum radius of inertia

J	J‐integral (contour integral)

J	Jacobi matrix

Je	Elastic part of J

JIc	Fracture toughness

Jpl	Plastic part of J

J1, J2, J3

Invariants of deviator stress tensor

K	Bulk modulus, kinetic energy, stress intensity factor

K	Global stiffness matrix (structural matrix)

K/SIF, KI , KII, KIII

Stress intensity factor, stress intensity factors for three opening modes (I, II, III)

K*	Cyclic strength coefficient

Kc, KIc, KIIc, KIIIc

Critical stress intensity factor

Keff	Effective stress intensity factor

KIc	Fracture toughness (Plane strain fracture toughness)

Ktot	Total stress intensity factor (as effect of assembled load)

k

Constant

ke	Finite element stiffness matrix (local coord. system)

Condensed stiffness matrix

, , [ūe]

Finite element stiffness matrix, vector of nodal forces and vector of nodal displacements in global coordinate system

L	Length (of beam, element)

Le	Effective (or free) buckling length

Li (i = 1,2,3)

Natural coordinates

L0(= G)

Gage length

L1	Length of considered element after loading

l

Length

l, m, r

Direction cosines

li(z), li(Li), li(ξ), li(η), li(ζ)

Lagrange interpolating polynomials

M	Structural mass matrix

Mf	Bending moment (flexural moment)

Mt	Torsion moment(torque)

Mx, My

Bending moment (flexural moment) about in‐plane axis of cross‐section of element (beam), moments in the plate related to the unit of the length of plate.

Mxy	Twisting moment in plate

me	Finite element mass matrix (local coord. system)

N

Axial...

Produkt-Details

• Erscheint lt. Verlag: 18.1.2018
• Sprache: englisch
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Analysis • Bauingenieur- u. Bauwesen • Baustatik • Baustatik u. Baumechanik • Behavior • Civil Engineering • Civil Engineering & Construction • creep • Engineering • FEM • Festkörpermechanik • Finite Element Method • formulations • fracture mechanics • Maschinenbau • Material • Materials • materials characterization • Materials Science • Materialwissenschaften • Mathematical • mechanical engineering • Metallic • Models • pedagogical • rheological • solid mechanics • Strain • Stress • Structural Analysis • Structural engineering • Structural Mechanics • Structural Theory & Structural Mechanics • Structures • Testing • Textbook • Werkstoffprüfung
• ISBN-10: 1-119-32906-X / 111932906X
• ISBN-13: 978-1-119-32906-0 / 9781119329060