Noncircular Cavity Expansion in Undrained Soil: Semi-Analytical Solution
نویسندگان
چکیده
The cavity expansion approach has been a popular tool to interpret wide range of geotechnical problems over the last several decades. Most previous research focused on cylindrical and/or spherical cavities, whereas nonstandard cavities have received much less attention. To address this shortcoming, paper presents general theoretical framework for two-dimensional (2D) displacement-controlled undrained noncircular (N-CCE) in soil. new combines strain path method (SPM) concepts and conformal mapping determine soil velocity rate fields analytically. displacement subsequently are determined by integrating velocities rates along using series transformed ordinary differential equations. In study, modified Cam Clay (MCC) effective stress constitutive model was used stress–strain relationship, consolidation effects were captured finite-difference calculations. proposed methodology validated comparing reduced solution circular with traditional theory. A parametric analysis undertaken explore influence three shapes expansion-induced deformation mechanisms, shear strains, stresses, pore-water pressure development consolidation. can be implemented any critical state–based applied arbitrary problems.
منابع مشابه
Instantaneous Bethe–salpeter Equation: (semi-)analytical Solution
The Bethe–Salpeter equation for bound states of a fermion–antifermion pair in the instantaneous approximation for the involved interaction kernel is converted into an equivalent matrix eigenvalue problem with explicitly (algebraically) given matrices. PACS numbers : 11.10.St, 03.65.Ge ∗ E-mail address : [email protected] ‡ E-mail address : [email protected] † E-mail address : franz.schoebe...
متن کاملsemi-analytical solution for static and forced vibration problems of laminated beams through smooth fundamental functions method
در این پایان نامه روش جدیدی مبتنی بر روش حل معادلات دیفرانسیل پارهای بر اساس روش توابع پایه برای حل مسایل ارتعاش اجباری واستاتیک تیرها و صفحات لایه ای ارایه شده است که می توان تفاوت این روش با روش های متداول توابع پایه را در استفاده از توابع هموار در ارضاء معادلات حاکم و شرایط مرزی دانست. در روش ارایه شده در این پایاننامه از معادله تعادل به عنوان معادله حاکم بر رفتار سیستم استفاده شده است که مو...
15 صفحه اولUndrained Plane-strain Expansion of a Cylindrical Cavity in Clay: a Simple Interpretation of the Pressuremeter Test
A study is made of the problem of interpreting the results of Menard pressuremeter tests on soil in situ. In the test a cylindrical cavity is expanded by internal pressure, and the relation between applied pressure and cavity vulume change is measured. It is shown that the results of a single test are enough to determine a complete stress-strain relation in plane strain, and a simple graphical ...
متن کاملSemi-Analytical Solution for Elastic Impact of Two Beams
Original scientific paper This paper presents semi-analytical solution for the problem of elastic impact of two beams. The solution is based on the finite element discretization of the structure and equation of motion solution using diagonalization method for solving a system of differential equations. This procedure avoids temporal discretization typical for numerical methods, and in this way ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Engineering Mechanics-asce
سال: 2022
ISSN: ['1943-7889', '0733-9399']
DOI: https://doi.org/10.1061/(asce)em.1943-7889.0002118