T. Jaglinski
Materials Science Program,
University of Wisconsin-Madison,
147 Engineering Research Building,
1500 Engineering Drive,
Madison, WI 53706-1687
e-mail: tmjaglinski@engr.wisc.edu
A. Nimityongskul
Engineering Mechanics Program,
University of Wisconsin-Madison,
147 Engineering Research Building,
1500 Engineering Drive,
Madison, WI 53706-1687
e-mail: apnimityongs@engr.wisc.edu
R. Schmitz
Engineering Mechanics Program,
University of Wisconsin-Madison,
147 Engineering Research Building,
1500 Engineering Drive,
Madison, WI 53706-1687
e-mail: robert.schmitz@ata-e.com
R. S. Lakes
Department of Engineering Physics,
Biomedical Engineering Department,
Rheology Research Center,
University of Wisconsin-Madison,
147 Engineering Research Building,
1500 Engineering Drive,
Madison, WI 53706-1687
e-mail: lakes@engr.wisc.edu
Study of Bolt Load Loss in Bolted
Aluminum Joints
Bolted joints are used widely in mechanical design and represent a weak link in a system
where loss of joint clamping force can lead to degraded product performance or human
injury. To meet current market demands, designers require reliable material data and
analysis tools for their industry specific materials. The viscoelastic response of bolted
aluminum joints used in the small die-cast engine industry at elevated temperatures was
studied. Bolt load-loss tests were performed using strain gages in situ. It was found that
after a week at temperature, most bolts lost 100% of their initial prestress. Nonlinear
constitutive equations utilizing parameters obtained from uniaxial creep and relaxation
tests were used in a simple one-dimensional model to predict the bolt load loss. The
model cannot predict the detailed response and overpredicts retained bolt stress for bolt
holes that are not preconditioned. For preconditioned holes, the behavior is intermediate
between creep and relaxation. DOI: 10.1115/1.2400262
1 Introduction
Many technological applications rely on bolted connections to
connect components composed of dissimilar materials or compli-
cated geometries as well as providing a means of access and
maintenance. Although necessary, these connections provide a
weak link where loss of joint clamp force can lead to degraded
performance or serious injury in extreme temperature applica-
tions. Bolt load loss arises from the time- and temperature-
dependent nature of all materials, and in the case of bolted joints,
time dependency is manifested by creep or stress relaxation of the
structural components.
Die-cast aluminum engine blocks are not immune to time-
dependent problems. Small die-cast engines that rely on air cool-
ing can experience transient operating temperatures in excess of
half the homologous melting temperature T
m
, where time-
dependent behavior is greatly accelerated. High-temperature areas
in an engine block include exhaust ports, combustion chambers,
and head joints. Loose joints in any of these areas can lead to
inefficient operation, escalated emission of pollutants or prema-
ture failure. Today’s domestic markets, coupled with increasing
global product competition, demand low-cost products with long
life cycles, where little or no consumer maintenance is required to
preserve performance over the product’s lifetime. To meet these
design goals, detailed knowledge of industry specific material and
structural responses is required.
Viscoelastic material behavior, in which we include all time-
dependent behavior i.e., anelasticity or any other form of time-
dependent inelastic behavior can be obtained from uniaxial creep
or stress relaxation tests. It would be advantageous to utilize the
acquired material parameters from these tests to predict the re-
sponse of geometrically complex structures subjected to pro-
longed load and varying time-temperature histories. However,
proper use of time-dependent constitutive equations entails an un-
derstanding of the detailed stress or strain history to which the
structural element is subjected, which can be extremely complex,
and the associated boundary conditions, which are heterogeneous
in real structures. The actual relaxation behavior of a bolted joint
differs from the observed response from a strictly defined creep or
relaxation situation. In linear viscoelasticity, creep and relaxation
are defined as a material’s time-dependent response due to a step
input stress or strain, respectively. Furthermore, it is assumed that
the boundary conditions remain the same throughout the time pe-
riod of the step input condition. For a real bolted joint, neither the
applied stresses nor strains are step functions due to fluctuating
time-temperature histories as well as a partitioning of load be-
tween the bolt and flange. For small engines the period of opera-
tion is generally short and dominated by a pronounced thermal
transient. Such a situation presents challenges for analysis since
metals at elevated temperatures are nonlinearly viscoelastic,
meaning the time-dependent behavior depends on the applied
stress or strain.
The majority of literature concerning experimental time-
dependent bolted joint behavior is concerned with steam applica-
tions 1 and bridges 2–4. Most of these studies concern steels of
varying compositions 5–8 and some refractory metals 9,10.
Besides aluminum alloys 11, the automotive industry has studied
Contributed by the Materials Division of ASME for publication in the JOURNAL OF
ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received April 28, 2005; final
manuscript received May 2, 2006. Review conducted by Matthew P. Millar.
48 / Vol. 129, JANUARY 2007 Copyright © 2007 by ASME Transactions of the ASME